scholarly journals Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in Rn

2017 ◽  
Vol 272 (5) ◽  
pp. 2005-2037 ◽  
Author(s):  
Philippe Souplet
Keyword(s):  
Heat Equation ◽  
Global Solutions ◽  
Morrey Spaces ◽  
Semilinear Heat Equation

Asymptotically self-similar global solutions of a general semilinear heat equation

2001 ◽  
Vol 321 (1) ◽  
pp. 131-155 ◽  
Author(s):  
Seifeddine Snoussi ◽  
Slim Tayachi ◽  
Fred B. Weissler
Keyword(s):  
Heat Equation ◽  
Global Solutions ◽  
Semilinear Heat Equation ◽  
Self Similar

Classification of Global and Blow-up Sign-changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-order Diffusion

2014 ◽  
Vol 14 (1) ◽  
pp. 1-29 ◽  
Author(s):  
Victor A. Galaktionov ◽  
Enzo Mitidieri ◽  
Stanislav I. Pohozaev
Keyword(s):  
Initial Data ◽  
Heat Equation ◽  
Blow Up ◽  
Second Order ◽  
Seminal Paper ◽  
Semilinear Heat Equation ◽  
Sign Changing Solutions

AbstractIt is well known from the seminal paper by Fujita [22] for 1 < p < puwith arbitrary initial data u

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