Quasilinear equations that are not solved for the higher-order time derivative
type: Item
instance of: scholarly article
title: Quasilinear equations that are not solved for the higher-order time derivative
zbMATH Open document ID: 1332.34017
DOI: 10.1134/S003744661504014X
published in: Siberian Mathematical Journal
publication date: 2015-10-29T00:00:00Z
review text: The author discusses the solvablity of a higher order quasilinear differential equation with a degenerate operator at the derivative part. By the projection method, some existence and uniqueness theorems are proved for linear equation under initial boundary condition, and then extended to nonlinear equation under the assumption that the nonlinearity is locally Lipschitz. The obtained results are applied to the motion equation of the Kelvin-Voigt fluid.
reviewed by: Yuqiang Feng
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34G10
zbMATH DE Number: 6501749
zbMATH Keywords: higher-order equation
zbMATH Keywords: quasilinear equation
zbMATH Keywords: degenerate evolution equation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: generalized Showalter-Sidorov problem
zbMATH Keywords: initial boundary value problem
author: Marina Vasilyevna Plekhanova
MaRDI profile type: Publication
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full work available at URL: s003744661504014x
OpenAlex ID: W2190697146
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description: scientific article; zbMATH DE number 6501749