scholarly journals Life span of solutions with large initial data for a superlinear heat equation

2008 ◽  
Vol 343 (2) ◽  
pp. 1061-1074 ◽  
Author(s):  
Shota Sato
Keyword(s):  
Initial Data ◽  
Heat Equation ◽  
Life Span ◽  
Large Initial Data

scholarly journals Life span of solutions with large initial data for a semilinear parabolic system coupling exponential reaction terms

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Sen Zhou
Keyword(s):  
Lower Bound ◽  
Initial Data ◽  
Life Span ◽  
Parabolic Equations ◽  
Coupled Systems ◽  
Large Initial Data ◽  
Semilinear Parabolic System ◽  
Systems Of Parabolic Equations ◽  
System Coupling ◽  
Semilinear Parabolic

Abstract In this paper, we study a coupled systems of parabolic equations subject to large initial data. By using comparison principle and Kaplan’s method, we get the upper and lower bound for the life span of the solutions.

scholarly journals Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data

2018 ◽  
Vol 144 (3) ◽  
pp. 287-297
Author(s):  
Amy Poh Ai Ling ◽  
Masahiko Shimojō
Keyword(s):  
Initial Data ◽  
Heat Equation ◽  
Blow Up ◽  
Slow Diffusion
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