Solvability of boundary-value problems for certain parabolic equations with degeneracies
type: Item
instance of: scholarly article
title: Solvability of boundary-value problems for certain parabolic equations with degeneracies
zbMATH Open document ID: 0656.35066
DOI: 10.1007/BF00970870
published in: Siberian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: This paper deals with a mixed problem for a nonlinear second order parabolic equation degenerating both in time and on the boundary. This problem is solved by applying the regularization method, deriving estimates which are uniform with respect to the parameters and using the limiting process. The problem of unicity is also discussed.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 4071474
zbMATH Keywords: mixed problem
zbMATH Keywords: regularization method
zbMATH Keywords: estimates
zbMATH Keywords: unicity
author: Mikhail M. jun. Lavrentiev
MaRDI profile type: Publication
cites work: Q3712655
cites work: Q3963437
cites work: Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
cites work: Q3910844
cites work: Q5548525
cites work: Q3872868
full work available at URL: https://doi.org/10.1007/bf00970870
OpenAlex ID: W2910840927
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description: scientific article; zbMATH DE number 4071474