Boundary value problems for mixed type equations and applications

DOI10.1016/J.NA.2011.06.022zbMath1227.35221arXiv1106.4000OpenAlexW2963690668MaRDI QIDQ640170

Marcus A. Khuri

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4000

zbMATH Keywords

isometric embeddingsMonge-Ampère equationsfully nonlinear mixed type equationsmixed elliptic and hyperbolic type

Mathematics Subject Classification ID

Boundary value problems for PDEs of mixed type (35M12)

Related Items (7)

Deformation of a long thermoelastic rod of rectangular normal cross-section under mixed boundary conditions by boundary integrals ⋮ Smooth solutions to a class of mixed type Monge-Ampère equations ⋮ Solution for a problem of linear plane elasticity with mixed boundary conditions on an ellipse by the method of boundary integrals ⋮ On the local isometric embedding in ℝ³of surfaces with zero sets of Gaussian curvature forming cusp domains ⋮ Stress analysis for long thermoelastic rods with mixed boundary conditions ⋮ Solution of a problem linear plane elasticity with mixed boundary conditions by the method of boundary integrals ⋮ A boundary value problem for a mixed type equation in a cylindrical domain

Cites Work

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• On the isometric embedding of surfaces with Gauss curvature changing sign cleanly
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• On closed boundary value problems for equations of mixed elliptic‐hyperbolic type
• Local Solvability of a Class of Degenerate Monge-Ampere Equations and Applications to Geometry

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