A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources

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Abstract

This paper investigates the properties of solutions to a quasilinear parabolic system with nonlocal boundary conditions and localized sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and blow-up rate estimates are also derived.

Keywords:

global existence finite time blow-up localized source nonlocal boundary global blow-up blow-up rate.
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A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources. (2021). Communications in Mathematical Research, 27(4), 315-330. https://www.global-sci.com/index.php/cmr/article/view/8707