Sign-definiteness of solution to inhomogeneous higher-order equation of mixed parabolic-hyperbolic type

DOI10.3103/S1066369X17070076zbMath1383.35131OpenAlexW2616558905MaRDI QIDQ682327

K. B. Sabitov

Publication date: 14 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17070076

zbMATH Keywords

fixed sign solutionpolycaloric equation

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Boundary value problems for PDEs of mixed type (35M12)

Cites Work

• Positivity of solutions to inhomogeneous mixed-type equations of higher orders
• A boundary value problem for a third-order equation of mixed type
• A maximum principle for biharmonic functions in Lipschitz and \(C^ 1\) domains
• Maximum principles for the polyharmonic equation on Lipschitz domains
• Boundary value problem for a third-order equation of mixed type in a rectangular domain
• The Dirichlet problem for higher-order partial differential equations
• Maximum theorems for solutions of higher order elliptic equations
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