ON THE EXISTENCE OF GLOBAL SOLUTIONS OF EVOLUTION EQUATIONS
Copyright policy )ON THE EXISTENCE OF GLOBAL SOLUTIONS OF EVOLUTION EQUATIONS
Summary: A sufficient condition for the existence of global solutions of evolution equations is proved. In the proof a modification of the Bihari type integral inequality to the case of a weakly singular nonlinear integral inequality is used. An application to a reaction-diffusion problem is given.
- Comenius University Slovakia
Abstract parabolic equations, weakly singular nonlinear integral inequality, Bihari type integral inequality, Reaction-diffusion equations, Asymptotic behavior of solutions to PDEs, Differential inequalities involving functions of a single real variable, Nonlinear parabolic equations
Abstract parabolic equations, weakly singular nonlinear integral inequality, Bihari type integral inequality, Reaction-diffusion equations, Asymptotic behavior of solutions to PDEs, Differential inequalities involving functions of a single real variable, Nonlinear parabolic equations
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