BOUNDARY VALUE PROBLEMS FOR COMPOSITE TYPE EQUATIONS WITH A QUASIPARABOLIC OPERATOR IN THE LEADING PART HAVING THE VARIABLE DIRECTION OF EVOLUTION AND DISCONTINUOUS COEFFICIENTS

DOI10.18287/2541-7525-2018-24-2-7-17zbMath1430.35094OpenAlexW2975189165MaRDI QIDQ5204923

A. I. Kozhanov, Aleksandra Ivanovna Grigor'Eva

Publication date: 10 December 2019

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu570

zbMATH Keywords

boundary value problemsSobolev-type equations

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Quasilinear parabolic equations (35K59)

Cites Work

• On the vibrations described by the telegraph equation in the case of a system consisting of several parts of different densities and elasticities
• Mixed problems for the equation of longitudinal vibrations of a heterogeneous rod with a free or fixed right end consisting of two segments with different densities and elasticities
• Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances
• The conjugation problem for some nonclassical high-order differential equations
• Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances
• Study of a mixed problem describing the oscillations of a rod consisting of several segments with arbitrary lengths
• A nonlocal boundary value problem for the Lavrent'ev-Bitsadze equation
• Boundary-value problems for some higher-order nonclassical differential equations
• Transmission problem for odd-order differential equations with two time variables and a varying direction of evolution
• Three-dimensional evolution of the boundary of a polluted area in a bounded piecewise homogeneous porous material
• Initial-boundary problem with conjugation conditions for composite-type equations with two breakdown coefficients
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