We study a nonlinear hyperbolic equation with boundary memory source term. By the use of Galerkin procedure, we prove the global existence and the decay property of solu-tion. Copyright © 2006 F. Sun and M. Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
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© 2017 Informa UK Limited, trading as Taylor & Francis Group In this paper, we investigate the ini...
We consider an abstract Cauchy problem with non-linear operator coefficients and prove the existence...
AbstractWe study the large time behavior of solutions of a one-dimensional hyperbolic relaxation sys...
AbstractUnder the influence of a sufficiently “weak” nonlinear source term, it is by now well known ...
We study global existence and blow up in finite time for a one-dimensional fast diffusion equation w...
summary:We prove the existence and uniform decay rates of global solutions for a hyperbolic system w...
International audienceWe consider a semilinear parabolic equation with flux at the boundary governed...
We introduce the study of global existence and blow up in finite time for nonlinear diffusion equati...
The initial boundary value problem for a class of hyperbolic equations with strong dissipative term...
The main purpose of this paper is to obtain the existence of global solutions to semilinear integro-...
Abstract. The paper deals with local and global existence for the solutions of the heat equation in ...
This paper concerns with the Cauchy problem for two classes of nonlinear hyperbolic equations with d...
This article studies the existence and nonexistence of global solutions to the initial boundary val...
We study initial-value problems that arise frum models for one-dimensional heat flow (with finite wa...
summary:The paper deals with the question of global solution $u,\tau$ to boundary value problem for ...
© 2017 Informa UK Limited, trading as Taylor & Francis Group In this paper, we investigate the ini...
We consider an abstract Cauchy problem with non-linear operator coefficients and prove the existence...
AbstractWe study the large time behavior of solutions of a one-dimensional hyperbolic relaxation sys...
AbstractUnder the influence of a sufficiently “weak” nonlinear source term, it is by now well known ...
We study global existence and blow up in finite time for a one-dimensional fast diffusion equation w...