Blow-up of Solution for Initial Boundary Value Problem of Reaction Diffusion Equations

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 1

Abstract

In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction diffusion equations with multiple nonlinearities is studied. We prove, under suitable conditions on memory and nonlinearities term and for negative or positive initial energy, a global nonexistence theorem.

Authors and Affiliations

Qiao Baomin

Keywords

Related Articles

An Existence Theorem for Quasi-Variational Inequalities

A class of set-valued quasi-variational inequalities is studied in Banach spaces. The concept of QVI was earlier introduced by A. Bensoussan and J. L. Lions [4]. In this paper we give a generalization of the existence th...

Traveling solitary wave solutions for the symmetric regularized long-wave equation

In this paper, we employ the extended tanh function method to nd the exact traveling wave solutions involving parameters of the symmetric regularized long- wave equation. When these parameters are taken to be s...

An Elementary Proof of Gilbreaths Conjecture

Given the fact that the Gilbreath's Conjecture has been a major topic of research in Aritmatic progression for well over a Century,and as bellow:2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 611 2 2 4 2 4 2 4 6 2 6 4 2...

On Suprememum of a set in A Dedikind Complete Topological Space

The supremum for a set in a multi-dimensional, Dedikind complete topological space is defined. The example is given to illustrate that the condition of Dedilind complete is necessary for the existence of supremum.

HYERS-ULAM STABILITY OF FIRST ORDER LINEAR DIFFERENCE OPERATORS ON BANACH SPACE

In this work, the Hyers-Ulam stability of first order linear difference operator TP defined by (Tpu)(n) = ∆u(n) - p(n)u(n); is studied on the Banach space X = l∞, where p(n) is a sequence of reals.

Download PDF file
  • EP ID EP651460
  • DOI 10.24297/jam.v10i1.6870
  • Views 135
  • Downloads 0

How To Cite

Qiao Baomin (2015). Blow-up of Solution for Initial Boundary Value Problem of Reaction Diffusion Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 10(1), 3138-3144. https://europub.co.uk/articles/-A-651460