Dirichlet conditions at infinity for parabolic and elliptic equations Dedicated to Juan Luis Vázquez, perpetually young and stimulating friend

被引：0

作者：

Kamin S. ^{[1
]}

Punzo F. ^{[2
]}

机构：

[1] School of Mathematical Sciences, Tel Aviv University, Tel Aviv

[2] Dipartimento di Matematica e Informatica, Università della Calabria, via P. Bucci 31B, Arcavacata di Rende (CS)

来源：

Punzo, Fabio (fapunzo@gmail.com) | 2016年 / Elsevier Ltd卷 / 138期

关键词：

Conditions at infinity; Parabolic equations; Unbounded coefficients;

D O I：

10.1016/j.na.2015.11.001

中图分类号：

O172 [微积分];

学科分类号：

摘要：

We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in ℝN × ℝ+. Under specific assumptions, we establish existence of solutions satisfying prescribed conditions at infinity, depending on the direction along which infinity is approached. Moreover, the large-time behavior of such solutions is addressed. We consider also elliptic equations in ℝN with similar conditions at infinity. © 2015 Elsevier Ltd. All rights reserved.

引用

页码：156 / 175

页数：19

共 3 条

[1] Dirichlet conditions at infinity for parabolic and elliptic equations
Kamin, Shoshana
Punzo, Fabio
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 138 : 156 - 175
[2] ELLIPTIC AND PARABOLIC EQUATIONS WITH DIRICHLET CONDITIONS AT INFINITY ON RIEMANNIAN MANIFOLDS
Mastrolia, P.
Monticelli, D. D.
Punzo, F.
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS, 2018, 23 (1-2) : 89 - 108
[3] An inhomogeneous singular perturbation problem for the p(x)-Laplacian Dedicated to our dear friend and colleague Juan Luis Vázquez on the occasion of his 70th birthday
Lederman C.
Wolanski N.
[J]. Nonlinear Analysis, Theory, Methods and Applications, 2016, 138 : 300 - 325

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