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Criteria for the vanishing of H_2^(2) H_2^(2)消失的判据
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8774
D. Wise
{"title":"Criteria for the vanishing of H_2^(2)","authors":"D. Wise","doi":"10.1512/iumj.2022.71.8774","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8774","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66764776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Gradient estimates for multi-phase problems in Campanato spaces Campanato空间中多相问题的梯度估计
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8947
Vicentiu D. Rădulescu, Chao Zhang
{"title":"Gradient estimates for multi-phase problems in Campanato spaces","authors":"Vicentiu D. Rădulescu, Chao Zhang","doi":"10.1512/iumj.2022.71.8947","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8947","url":null,"abstract":"We establish a new Campanato type estimate for the weak solutions of a class of multi-phase problems. The problem under consideration is characterized by the fact that both ellipticity and growth switch between three different types of polynomial according to the position, which describes a feature of strongly anisotropic materials. The results obtained in this paper are different from the BMO type estimates for the usual p-Laplacian equation due to DiBenedetto and Manfredi. The content of this paper is in close relationship with the recent pioneering contributions of Marcellini and Mingione in the qualitative analysis of multi-phase problems.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator via variational and approximation methods 含1-拉普拉斯算子的拟线性椭圆型问题的变分和近似解
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8881
G. Figueiredo, M. Pimenta
{"title":"Nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator via variational and approximation methods","authors":"G. Figueiredo, M. Pimenta","doi":"10.1512/iumj.2022.71.8881","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8881","url":null,"abstract":"In this work we use two different methods to get nodal solutions to quasilinear elliptic problems involving the 1−Laplacian operator. In the first one, we develop an approach based on a minimization of the energy functional associated to a problem involving the 1−Laplacian operator in R , on a subset of the Nehari set which contains just sign-changing functions. In the second part we obtain a nodal solution to a quasilinear elliptic problem involving the 1−Laplacian operator in a bounded domain, through a thorough analysis of the sequence of solutions of the p−Laplacian problem associated to it, as p → 1. In both cases, several technical difficulties appear in comparison with the related results involving signed solutions.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
The relaxation limit of a compressible gas-liquid model with well-reservoir interaction 考虑井-储相互作用的可压缩气-液模型的松弛极限
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/iumj.2022.71.8965
Guangyi Hong, Hongyun Peng, Changjiang Zhu
{"title":"The relaxation limit of a compressible gas-liquid model with well-reservoir interaction","authors":"Guangyi Hong, Hongyun Peng, Changjiang Zhu","doi":"10.1512/iumj.2022.71.8965","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.8965","url":null,"abstract":"In this paper, we are concerned with the motion of gas-kick flow in oil wells for the extreme case that the pressure is largely dictated by the surrounding reservoir pressure. Formally, the model can be obtained by taking the relaxation limit of a two-phase compressible gas-liquid model with a pressure-dependent well-reservoir interaction term. Under suitable smallness assumptions upon the initial data, the global existence as well as the uniqueness of strong solutions to the model is investigated by using the energy method. Besides, the large-time behavior of the solution is also studied. Our results generalize the ones in [18, S. Solem and S. Evje, Z. Angew. Math. Phys., 68 (2017), pp. Art. 23].","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Errata: Principal eigenvalue estimates via the supremum of torsion 勘误:通过最优扭转估计主特征值
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2022-01-01 DOI: 10.1512/IUMJ.2010.59.3935
T. Giorgi, R. G. Smits
{"title":"Errata: Principal eigenvalue estimates via the supremum of torsion","authors":"T. Giorgi, R. G. Smits","doi":"10.1512/IUMJ.2010.59.3935","DOIUrl":"https://doi.org/10.1512/IUMJ.2010.59.3935","url":null,"abstract":"We show that the reciprocal of the principal eigenvalue of some operators is comparable to the supremum of the solution to associated generalized torsion problems or the expected exit time for stochastic processes. As a result, we extend estimates, known for the Laplacian on simply connected two-dimensional domains, to general n-dimensional domains, to symmetric stable processes and to the p-Laplacian. Our proofs rely on probabilistic estimates and interpretations of the eigenvalues and the torsion functions.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1512/IUMJ.2010.59.3935","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66895150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
Cubulating small cancellation free products Cubulating小型免取消产品
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2021-11-06 DOI: 10.1512/iumj.2022.71.9628
Kasia Jankiewicz, D. Wise
{"title":"Cubulating small cancellation free products","authors":"Kasia Jankiewicz, D. Wise","doi":"10.1512/iumj.2022.71.9628","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9628","url":null,"abstract":"We give a simplified approach to the cubulation of small-cancellation quotients of free products of cubulated groups. We construct fundamental groups of compact nonpositively curved cube complexes that do not virtually split.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45494967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
The primitive ideal space of groupoid C^*-algebras for groupoids with Abelian isotropy 具有Abelian各向同性的群拟C^*代数的原始理想空间
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2021-08-04 DOI: 10.1512/iumj.2022.71.9523
D. W. V. Wyk, Dana P. Williams
{"title":"The primitive ideal space of groupoid C^*-algebras for groupoids with Abelian isotropy","authors":"D. W. V. Wyk, Dana P. Williams","doi":"10.1512/iumj.2022.71.9523","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9523","url":null,"abstract":"We study the topology of the primitive ideal space of groupoid C∗algebras for groupoids with abelian isotropy. Our results include the known results for action groupoids with abelain stabilizers. Furthermore, we obtain complete results when the isotropy map is continuous except for jump discontinuities, and also when G is a unit space fixing extension of a proper groupoid by an abelain group bundle. We hope that our methods will be a springboard to further results of this type.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47944358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the Moore-Gibson-Thompson equation with memory with nonconvex kernels 关于具有非凸核记忆的Moore-Gibson-Thompson方程
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2021-06-23 DOI: 10.1512/iumj.2023.72.9330
M. Conti, L. Liverani, V. Pata
{"title":"On the Moore-Gibson-Thompson equation with memory with nonconvex kernels","authors":"M. Conti, L. Liverani, V. Pata","doi":"10.1512/iumj.2023.72.9330","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9330","url":null,"abstract":"We consider the MGT equation with memory $$partial_{ttt} u + alpha partial_{tt} u - beta Delta partial_{t} u - gammaDelta u + int_{0}^{t}g(s) Delta u(t-s) ds = 0.$$ We prove an existence and uniqueness result removing the convexity assumption on the convolution kernel $g$, usually adopted in the literature. In the subcritical case $alphabeta>gamma$, we establish the exponential decay of the energy, without leaning on the classical differential inequality involving $g$ and its derivative $g'$, namely, $$g'+delta gleq 0,quaddelta>0,$$ but only asking that $g$ vanishes exponentially fast.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43926281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Wild holomorphic foliations of the ball 球的野生全纯叶理
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2021-06-09 DOI: 10.1512/iumj.2022.71.9589
A. Alarcón
{"title":"Wild holomorphic foliations of the ball","authors":"A. Alarcón","doi":"10.1512/iumj.2022.71.9589","DOIUrl":"https://doi.org/10.1512/iumj.2022.71.9589","url":null,"abstract":"We prove that the open unit ball Bn of C n (n ≥ 2) admits a nonsingular holomorphic foliation F by closed complex hypersurfaces such that both the union of the complete leaves of F and the union of the incomplete leaves of F are dense subsets of Bn. In particular, every leaf of F is both a limit of complete leaves of F and a limit of incomplete leaves of F . This gives the first example of a holomorphic foliation of Bn by connected closed complex hypersurfaces having a complete leaf that is a limit of incomplete ones. We obtain an analogous result for foliations by complex submanifolds of arbitrary pure codimension q with 1 ≤ q < n.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43755255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Groupoid semidirect product Fell bundles II --- principal actions and stabilization 群形半直接积落束II——主要作用及其稳定性
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2021-05-05 DOI: 10.1512/iumj.2023.72.9447
Lucas Hall, S. Kaliszewski, John Quigg, Dana P. Williams
{"title":"Groupoid semidirect product Fell bundles II --- principal actions and stabilization","authors":"Lucas Hall, S. Kaliszewski, John Quigg, Dana P. Williams","doi":"10.1512/iumj.2023.72.9447","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9447","url":null,"abstract":"Given a free and proper action of a groupoid on a Fell bundle (over another groupoid), we give an equivalence between the semidirect-product and the generalized-fixed-point Fell bundles, generalizing an earlier result where the action was by a group. As an application, we show that the Stabilization Theorem for Fell bundles over groupoids is essentially another form of crossed-product duality.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45245081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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