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

DOI10.3934/mbe.2017025zbMathNoneOpenAlexW2511538832WikidataQ50544218 ScholiaQ50544218MaRDI QIDQ335287

Meng Fan, Asim Asiri, Ebraheem O. Alzahrani, Zijuan Wen, Mohamed M. El-Dessoky, Yang Kuang

Publication date: 2 November 2016

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2017025

zbMATH Keywords

regularityquasilinear parabolic equationcontraction mapdensity-dependent diffusionglioblastoma growth model

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) General biology and biomathematics (92B05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items

Convergence of the heat kernel approximate solutions of the transport-diffusion equation in the half-space, Existence of traveling wave solutions to data-driven glioblastoma multiforme growth models with density-dependent diffusion

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