On a nonlinear heat equation associated with Dirichlet -- Robin conditions

Le Thi Phuong Ngoc; Nguyen Van Y; Alain Pham Ngoc Dinh; Nguyen Thanh Long

hal-00528233, version 1

On a nonlinear heat equation associated with Dirichlet -- Robin conditions

Le Thi Phuong Ngoc () ¹, Nguyen Van Y () ², Alain Pham Ngoc Dinh () ³, Nguyen Thanh Long ( Author to contact preferably ) ²

Abstract: This paper is devoted to the study of a nonlinear heat equation associated with Dirichlet-Robin conditions. At first, we use the Faedo -- Galerkin and the compactness method to prove existence and uniqueness results. Next, we consider the properties of solutions. We obtain that if the initial condition is bounded then so is the solution and we also get asymptotic behavior of solutions as. Finally, we give numerical results

1: Mathematics department
Nhatrang Educational College
2: University of Natural Science, Vietnam National University HoChiMinhCity (UNS-HCMC)
University of Natural Science, HoChiMinhCity
3: Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
Université d'Orléans – CNRS : UMR7349

hal-00528233, version 1
http://hal.archives-ouvertes.fr/hal-00528233
oai:hal.archives-ouvertes.fr:hal-00528233
From: Alain Pham Ngoc Dinh <>
Submitted on: Thursday, 21 October 2010 12:18:05
Updated on: Thursday, 21 October 2010 13:53:13

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arXiv: 1010.4444

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