论文信息 - A note on the life span of semilinear pseudo-parabolic equation - 字舞流文

A note on the life span of semilinear pseudo-parabolic equation

Abstract We consider the Cauchy problem for the semilinear pseudo-parabolic equation with initial data with compact support. We find the life span of the solution, when the power exponent p is smaller than the Fujita exponent.

Zhiyong Wang | Yang Cao | Jingxue Yin

[1] W. Ni,et al. Global existence, large time behavior and life span of solutions of a semilinear parabolic cauchy problem , 1992 .

[2] Yusuke Yamauchi. Life span of positive solutions for a semilinear heat equation with non-decaying initial data (Analysis on non-equilibria and nonlinear phenomena : from the evolution equations point of view) , 2010 .

[3] Jingxue Yin,et al. A semilinear pseudo-parabolic equation with initial data non-rarefied at ∞ , 2019, Journal of Functional Analysis.

[4] Changfeng Gui,et al. Life Span of Solutions of the Cauchy Problem for a Semilinear Heat Equation , 1995 .

[5] E. I. Kaikina,et al. The Cauchy problem for an equation of Sobolev type with power non-linearity , 2005 .

[6] Yusuke Yamauchi,et al. Life span of solutions for a semilinear heat equation with initial data having positive limit inferi , 2011 .

[7] Sining Zheng,et al. Second critical exponent and life span for pseudo-parabolic equation☆ , 2012 .

[8] Jingxue Yin,et al. Cauchy problems of semilinear pseudo-parabolic equations ✩ , 2009 .

[9] Mingxin Wang,et al. An integral equation involving Bessel potentials on half space , 2014 .

[10] Hiroshi Tanaka,et al. On the growing up problem for semilinear heat equations , 1977 .

[11] K. Hayakawa,et al. On nonexistence of global solutions of some semilinear parabolic equations , 1973 .

[12] Ralph E. Showalter,et al. Pseudoparabolic Partial Differential Equations , 1970 .