Global existence and uniqueness of classical solutions for a generalized quasilinear parabolic equation with application to a glioblastoma growth model

Global existence and uniqueness of classical solutions for a generalized quasilinear parabolic equation with application to a glioblastoma growth model

This paper studies the global existence and uniqueness of classicalsolutions for a generalized quasilinear parabolic equation withappropriate initial and mixed boundary conditions. Under somepracticable regularity criteria on diffusion item and nonlinearity, weestablish the local existence and uniqu...

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Bibliographic Details
Main Authors: Zijuan Wen, Meng Fan, Asim M. Asiri, Ebraheem O. Alzahrani, Mohamed M. El-Dessoky, Yang Kuang
Format: Article
Language:English
Published: AIMS Press 2017-03-01
Series:Mathematical Biosciences and Engineering
Subjects:
quasilinear parabolic equation
glioblastoma growth model
regularity
contraction map
density-dependent diffusion
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2017025
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https://www.aimspress.com/article/doi/10.3934/mbe.2017025

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