A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources

A Quasilinear Parabolic System with Nonlocal Boundary Conditions and Localized Sources

Year:    2011

Author:    Yuzhu Han, Yingjie Wei, Wenjie Gao

Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 315–330

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19076

Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 315–330

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    global existence finite time blow-up localized source nonlocal boundary global blow-up blow-up rate.

Author Details

Yuzhu Han

Yingjie Wei

Wenjie Gao