EXISTENCE AND MAXIMAL REGULARITY OF SOLUTIONS IN L_2(R^2) FOR A HYPERBOLIC TYPE DIFFERENTIAL EQUATION WITH QUICKLY GROWING COEFFICIENTS

DOI10.32523/2077-9879-2020-11-1-95-100zbMath1463.35370OpenAlexW3039189331MaRDI QIDQ5118894

Yerik Nurlanovich Bayandiyev, Mussakan B. Muratbekov

Publication date: 27 August 2020

Published in: Eurasian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj359

zbMATH Keywords

unbounded domainmaximal regularitynonsmooth coefficientshyperbolic type equation

Mathematics Subject Classification ID

PDEs of mixed type (35M10)

Related Items (1)

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Cites Work

• Muckenhoupt weights and maximal \(L^p\)-regularity
• Spectrum and stabilization in hyperbolic problems
• Linear hyperbolic partial differential equation with constant coefficients
• Separation of a class of degenerate differential operators in Lp-Spaces
• Sturm–Liouville operator with a parameter and its usage to spectrum research of some differential operators
• On Some Properties of the Powers of a Formally Self-Adjoint Differential Expression
• On Some Properties of the Domains of Powers of Certain Differential Operators
• Symmetric hyperbolic linear differential equations
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
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