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Doubly periodic mixed type solution of Non-Abelian Chern-Simons-Higgs vortices with flavor 具有风味的非阿贝尔chen - simons - higgs涡旋的双周期混合型解
Asymptot. Anal. Pub Date : 2018-09-14 DOI: 10.3233/ASY-181490
Ohsang Kwon, Youngae Lee
{"title":"Doubly periodic mixed type solution of Non-Abelian Chern-Simons-Higgs vortices with flavor","authors":"Ohsang Kwon, Youngae Lee","doi":"10.3233/ASY-181490","DOIUrl":"https://doi.org/10.3233/ASY-181490","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"215 1","pages":"193-207"},"PeriodicalIF":0.0,"publicationDate":"2018-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75490971","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
Characteristic scales of bounded L 2 sequences 有界l2序列的特征尺度
Asymptot. Anal. Pub Date : 2018-09-14 DOI: 10.3233/ASY-181474
Marko Erceg, M. Lazar
{"title":"Characteristic scales of bounded L 2 sequences","authors":"Marko Erceg, M. Lazar","doi":"10.3233/ASY-181474","DOIUrl":"https://doi.org/10.3233/ASY-181474","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"1 1","pages":"171-192"},"PeriodicalIF":0.0,"publicationDate":"2018-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89244786","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: 1
Asymptotics of the heat kernels on 2D lattices 二维格上热核的渐近性
Asymptot. Anal. Pub Date : 2018-09-13 DOI: 10.3233/ASY-181498
P. Gurevich
{"title":"Asymptotics of the heat kernels on 2D lattices","authors":"P. Gurevich","doi":"10.3233/ASY-181498","DOIUrl":"https://doi.org/10.3233/ASY-181498","url":null,"abstract":"We obtain asymptotic expansions of the spatially discrete 2D heat kernels, or Green's functions on lattices, with respect to powers of time variable up to an arbitrary order and estimate the remainders uniformly on the whole lattice. Unlike in the 1D case, the asymptotics contains a time independent term. The derivation of its spatial asymptotics is the technical core of the paper. Besides numerical applications, the obtained results play a crucial role in the analysis of spatio-temporal patterns for reaction-diffusion equations on lattices, in particular rattling patterns for hysteretic diffusion systems.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"4 1","pages":"107-124"},"PeriodicalIF":0.0,"publicationDate":"2018-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86250631","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
Positive ground state solutions for a class of Schrödinger-Poisson systems in R 4 involving critical Sobolev exponent 一类含有临界Sobolev指数的Schrödinger-Poisson系统的正基态解
Asymptot. Anal. Pub Date : 2018-08-03 DOI: 10.3233/ASY-181471
Sofiane Khoutir, Haibo Chen
{"title":"Positive ground state solutions for a class of Schrödinger-Poisson systems in R 4 involving critical Sobolev exponent","authors":"Sofiane Khoutir, Haibo Chen","doi":"10.3233/ASY-181471","DOIUrl":"https://doi.org/10.3233/ASY-181471","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"29 1","pages":"91-109"},"PeriodicalIF":0.0,"publicationDate":"2018-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72639679","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
Recurrence of bounded solutions to a semilinear integro-differential equation perturbed by Lévy noise 一类受lsamvy噪声扰动的半线性积分微分方程有界解的递推性
Asymptot. Anal. Pub Date : 2018-08-03 DOI: 10.3233/ASY-181466
Yong-Kui Chang, G. N’Guérékata, Zhi-Han Zhao
{"title":"Recurrence of bounded solutions to a semilinear integro-differential equation perturbed by Lévy noise","authors":"Yong-Kui Chang, G. N’Guérékata, Zhi-Han Zhao","doi":"10.3233/ASY-181466","DOIUrl":"https://doi.org/10.3233/ASY-181466","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"26 1 1","pages":"27-52"},"PeriodicalIF":0.0,"publicationDate":"2018-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90866628","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
Topological asymptotic analysis of an optimal control problem modeled by a coupled system 耦合系统最优控制问题的拓扑渐近分析
Asymptot. Anal. Pub Date : 2018-08-03 DOI: 10.3233/ASY-181465
L. Fernandez, A. Novotny, R. Prakash
{"title":"Topological asymptotic analysis of an optimal control problem modeled by a coupled system","authors":"L. Fernandez, A. Novotny, R. Prakash","doi":"10.3233/ASY-181465","DOIUrl":"https://doi.org/10.3233/ASY-181465","url":null,"abstract":"In this paper, we deal with the topological asymptotic analysis of an optimal control problem modeled by a coupled system. The control is a geometrical object and the cost is given by the misfit between a target function and the state, solution of the Helmholtz-Laplace coupled system. Higher-order topological derivatives are used to devise a non-iterative algorithm to compute the optimal control for the problem of interest. Numerical examples are presented in order to demonstrate the effectiveness of the proposed algorithm.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"26 1","pages":"1-26"},"PeriodicalIF":0.0,"publicationDate":"2018-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73613610","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: 3
Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms 双阻尼项波动方程展开解的矩条件和下界
Asymptot. Anal. Pub Date : 2018-07-26 DOI: 10.3233/ASY-181516
R. Ikehata, Hironori Michihisa
{"title":"Moment conditions and lower bounds in expanding solutions of wave equations with double damping terms","authors":"R. Ikehata, Hironori Michihisa","doi":"10.3233/ASY-181516","DOIUrl":"https://doi.org/10.3233/ASY-181516","url":null,"abstract":"In this report we obtain higher order asymptotic expansions of solutions to wave equations with frictional and viscoelastic damping terms. Although the diffusion phenomena are dominant, differences between the solutions we deal with and those of heat equations can be seen by comparing the second order expansions of them. In order to analyze such effects we consider the weighted L1 initial data. We also give some lower bounds which show the optimality of obtained expansions.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"14 1","pages":"19-36"},"PeriodicalIF":0.0,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80814658","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: 17
Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients 一类具有周期振荡系数的椭圆型方程的周期格林函数的分解和点态估计
Asymptot. Anal. Pub Date : 2018-07-24 DOI: 10.3233/ASY-181504
Marc Josien
{"title":"Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients","authors":"Marc Josien","doi":"10.3233/ASY-181504","DOIUrl":"https://doi.org/10.3233/ASY-181504","url":null,"abstract":"This article is about the $mathbb{Z}^d$-periodic Green function $G_n(x,y)$ of the multiscale elliptic operator $Lu=-{rm div}left( A(ncdot) cdot nabla u right)$, where $A(x)$ is a $mathbb{Z}^d$-periodic, coercive, and H\"older continuous matrix, and $n$ is a large integer. We prove here pointwise estimates on $G_n(x,y)$, $nabla_x G_n(x,y)$, $nabla_y G_n(x,y)$ and $nabla_x nabla_y G_n(x,y)$ in dimensions $d geq 2$. Moreover, we derive an explicit decomposition of this Green function, which is of independent interest. These results also apply for systems.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"112 1","pages":"227-246"},"PeriodicalIF":0.0,"publicationDate":"2018-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82135600","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: 4
Positive solutions for nonvariational Robin problems 非变分Robin问题的正解
Asymptot. Anal. Pub Date : 2018-07-02 DOI: 10.3233/ASY-181464
Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš
{"title":"Positive solutions for nonvariational Robin problems","authors":"Nikolaos S. Papageorgiou, Vicentiu D. Rădulescu, Dušan D. Repovš","doi":"10.3233/ASY-181464","DOIUrl":"https://doi.org/10.3233/ASY-181464","url":null,"abstract":"We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of the original equation, we show the existence of a positive smooth solution.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"365 1","pages":"243-255"},"PeriodicalIF":0.0,"publicationDate":"2018-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78126865","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: 6
Long time behaviour of parabolic equations in time-dependent growing domains 随时间增长区域中抛物方程的长时间行为
Asymptot. Anal. Pub Date : 2018-07-02 DOI: 10.3233/ASY-171461
S. Guesmia, Soumia Harkat
{"title":"Long time behaviour of parabolic equations in time-dependent growing domains","authors":"S. Guesmia, Soumia Harkat","doi":"10.3233/ASY-171461","DOIUrl":"https://doi.org/10.3233/ASY-171461","url":null,"abstract":"","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"3 1","pages":"187-219"},"PeriodicalIF":0.0,"publicationDate":"2018-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73914327","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
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