Acta Mathematica Vietnamica最新文献_第8页

General Decay and Blow-up Results of a Robin-Dirichlet Problem for a Pseudoparabolic Nonlinear Equation of Kirchhoff-Carrier Type with Viscoelastic Term 一类具有粘弹性项的kirchhoff -载波型伪抛物非线性方程的Robin-Dirichlet问题的一般衰减和爆破结果

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Acta Mathematica Vietnamica Pub Date : 2023-03-21 DOI: 10.1007/s40306-023-00496-3

Le Thi Phuong Ngoc, Nguyen Anh Triet, Phan Thi My Duyen, Nguyen Thanh Long

引用次数: 0

A General Estimate for the (bar partial )-Neumann Problem 部分$-Neumann问题的一般估计

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Acta Mathematica Vietnamica Pub Date : 2023-03-21 DOI: 10.1007/s40306-022-00487-w

Tran Vu Khanh

{"title":"A General Estimate for the (bar partial )-Neumann Problem","authors":"Tran Vu Khanh","doi":"10.1007/s40306-022-00487-w","DOIUrl":"10.1007/s40306-022-00487-w","url":null,"abstract":"<div>This paper especially focuses on a general estimate, called ((f-mathcal M)^{k}), for the (bar partial )-Neumann problem\u0000 ({(f-mathcal M)^{k}} qquad | f({varLambda })mathcal M u|^{2}le c(|bar partial u|^{2}+|bar partial ^{*}u|^{2}+|u|^{2})+C_{mathcal M}|u|^{2}_{-1})\u0000 for any (uin C^{infty }_{c}(Ucap bar {Omega })^{k}cap text {Dom}(bar {partial }^{*})), where f(Λ) is the tangential pseudodifferential operator with symbol f((1 + |ξ|2)1/2), (mathcal M) is a multiplier, and U is a neighborhood of a given boundary point z0. Here the domain Ω is q-pseudoconvex or q-pseudoconcave at z0. We want to point out that under a suitable choice of f and (mathcal M), ((f{-}mathcal M)^{k}) is the subelliptic, superlogarithmic, compactness and so on. Generalizing the Property (P) by Catlin (1984), we define Property ((f-mathcal M-P)^{k}). The result we obtain in here is: Property ((f-mathcal M-P)^{k}) yields the ((f-mathcal M)^{k}) estimate. The paper also aims at exhibiting some relevant classes of domains which enjoy Property ((f-mathcal M-P)^{k}).</div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"48 1","pages":"83 - 115"},"PeriodicalIF":0.5,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48849126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On Local (like) Derivations on Path Algebras 关于路径代数上的局部(类)导数

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Acta Mathematica Vietnamica Pub Date : 2023-03-07 DOI: 10.1007/s40306-023-00499-0

Abderrahim Adrabi, Driss Bennis, Brahim Fahid

引用次数: 0

Gradient Flows of Modified Wasserstein Distances and Porous Medium Equations with Nonlocal Pressure 具有非局部压力的Wasserstein距离和多孔介质方程的梯度流

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Acta Mathematica Vietnamica Pub Date : 2023-02-14 DOI: 10.1007/s40306-023-00497-2

Nhan-Phu Chung, Quoc-Hung Nguyen

引用次数: 0

Spatiotemporal Soliton Interaction of Saturable Nonlinear Schrödinger Equations in Spatial Dimensions Higher Than 1 空间维数大于1的饱和非线性Schrödinger方程的时空孤子相互作用

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Acta Mathematica Vietnamica Pub Date : 2023-02-10 DOI: 10.1007/s40306-023-00495-4

Quan M. Nguyen, Toan T. Huynh

引用次数: 0

Hardy-Sobolev Inequalities with Dunkl Weights 具有Dunkl权的Hardy-Sobolev不等式

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Acta Mathematica Vietnamica Pub Date : 2023-02-09 DOI: 10.1007/s40306-022-00494-x

Dao Nguyen Anh, Nguyen Tuan Duy, Lam Hoang Nguyen, Nguyen Van Phong

引用次数: 0

Some Properties of n-semidualizing Modules n-半量子化模的一些性质

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Acta Mathematica Vietnamica Pub Date : 2023-02-03 DOI: 10.1007/s40306-022-00492-z

Tony Se

引用次数: 2

Mean Oscillation Gradient Estimates for Elliptic Systems in Divergence Form with VMO Coefficients 具有VMO系数的发散型椭圆系统的平均振荡梯度估计

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Acta Mathematica Vietnamica Pub Date : 2023-02-02 DOI: 10.1007/s40306-022-00493-y

Luc Nguyen

{"title":"Mean Oscillation Gradient Estimates for Elliptic Systems in Divergence Form with VMO Coefficients","authors":"Luc Nguyen","doi":"10.1007/s40306-022-00493-y","DOIUrl":"10.1007/s40306-022-00493-y","url":null,"abstract":"<div>We consider gradient estimates for H1 solutions of linear elliptic systems in divergence form (partial _{alpha }(A_{ij}^{alpha beta } partial _{beta } u^{j}) = 0). It is known that the Dini continuity of coefficient matrix (A = (A_{ij}^{alpha beta }) ) is essential for the differentiability of solutions. We prove the following results:(a) If A satisfies a condition slightly weaker than Dini continuity but stronger than belonging to VMO, namely that the L2 mean oscillation ωA,2 of A satisfies\u0000<div><div>$ X_{A,2} := limsuplimits_{rrightarrow 0} r {{int limits }_{r}^{2}} frac {omega _{A,2}(t)}{t^{2}} exp left (C_{*} {{int limits }_{t}^{R}} frac {omega _{A,2}(s)}{s} dsright ) dt < infty , $</div></div> where C∗ is a positive constant depending only on the dimensions and the ellipticity, then ∇u ∈ BMO.(b) If XA,2 = 0, then ∇u ∈ V MO.(c) Finally, examples satisfying XA,2 = 0 are given showing that it is not possible to prove the boundedness of ∇u in statement (b), nor the continuity of ∇u when (nabla u in L^{infty } cap VMO).</div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"48 1","pages":"117 - 132"},"PeriodicalIF":0.5,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40306-022-00493-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48409416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Proof of the Lieb–Thirring Inequality via the Besicovitch Covering Lemma 用Besicovitch覆盖引理证明Lieb–Thirring不等式

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Acta Mathematica Vietnamica Pub Date : 2023-01-04 DOI: 10.1007/s40306-022-00490-1

Phan Thành Nam

引用次数: 1

Necessary Optimality Conditions for Second-Order Local Strict Efficiency for Constrained Nonsmooth Vector Equilibrium Problems 约束非光滑矢量平衡问题二阶局部严格效率的必要最优性条件

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Acta Mathematica Vietnamica Pub Date : 2022-12-17 DOI: 10.1007/s40306-022-00491-0

Tran Van Su, Dinh Dieu Hang

引用次数: 0