Title of article
Linear behaviour of solutions of a superlinear heat equation
Author/Authors
Marek Fila، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
9
From page
401
To page
409
Abstract
We give sufficient conditions which guarantee that solutions of a superlinear heat equation decay to zero at the same rate as the
solutions of the linear heat equation with the same initial data. This improves a previous result of Lee and Ni by showing that this
behaviour holds for a significantly larger, and rather tightly defined class of solutions.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Convergence to zero , semilinear diffusion equation , Linear behaviour critical exponent , Comparison principle
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936752
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