Nonlocal problem for autonomous quasilinear parabolic pseudodifferential equations with deviating argument

DOI10.1007/S10958-016-2983-YzbMath1352.35225OpenAlexW4235771831MaRDI QIDQ328508

R. I. Petryshyn, Ya. M. Drin'

Publication date: 20 October 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2983-y

zbMATH Keywords

quasilinearparabolicnonsmooth symbolspseudodifferentialquasilinear parabolic pseudodifferential equation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations (35K59)

Cites Work

• Cauchy problem for autonomous quasilinear parabolic pseudodifferential equations with deviating argument
• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• Multipoint (in time) problem for one class of evolutionary pseudodifferential equations
• Cauchy problem with Riesz operator of fractional differentiation
• Fundamental solutions of parabolic systems. I
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