A boundary value problem for higher-order semilinear partial differential equations

DOI10.1080/17476933.2018.1508286zbMath1414.35051OpenAlexW2888468980WikidataQ129362277 ScholiaQ129362277MaRDI QIDQ4634045

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Publication date: 7 May 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1508286

zbMATH Keywords

existencenonexistenceuniquenesshypoelliptic operators

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Hypoelliptic equations (35H10)

Related Items (4)

The boundary value problem for one class of higher-order nonlinear partial differential equations ⋮ THE BOUNDARY VALUE PROBLEM FOR ONE CLASS OF HIGHER-ORDER SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ Boundary-value problem for a class of nonlinear systems of partial differential equations of higher orders ⋮ On the solvability of a special boundary value problem in a cylindrical domain for a class of nonlinear systems of partial differential equations

Cites Work

• Existence and nonexistence of global solutions for a class of nonlinear wave equations of higher order
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Existence and non-existence of global solutions of the Cauchy problem for higher order semilinear pseudo-hyperbolic equations
• Asymptotic behavior of solutions to a class of fourth-order nonlinear evolution equations with dispersive and dissipative terms
• On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
• Existence and nonexistence of global solutions for nonlinear evolution equation of fourth order
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