Asymptotic behavior of global solutions to a class of mixed pseudo-parabolic Kirchhoff equations

2021 ◽  
Vol 118 ◽  
pp. 107119
Author(s):  
Yang Cao ◽  
Qiuting Zhao
Keyword(s):  
Asymptotic Behavior ◽  
Global Solutions ◽  
Kirchhoff Equations

scholarly journals Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations

2007 ◽  
Vol 2007 ◽  
pp. 1-9 ◽  
Author(s):  
Yaojun Ye
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equations ◽  
Decay Estimate ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Asymptotic Behavior Of Solutions ◽  
Potential Well ◽  
Initial Boundary Value ◽  
Nonlinear Degenerate

This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality.

scholarly journals Global solutions of semilinear heat equations in Hilbert spaces

1996 ◽  
Vol 1 (3) ◽  
pp. 263-276 ◽  
Author(s):  
G. Mihai Iancu ◽  
M. W. Wong
Keyword(s):  
Asymptotic Behavior ◽  
Hilbert Spaces ◽  
Differential Operators ◽  
Global Solutions ◽  
Linear Operators ◽  
Heat Equations ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Strongly Continuous Semigroups ◽  
Pseudo Differential Operators

The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one-parameter strongly continuous semigroups of bounded linear operators. Applications to special semilinear heat equations inL 2(ℝn)governed by pseudo-differential operators are given.

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