Boundary value problems for mixed type equations and applications

Marcus A. Khuri

doi:10.1016/j.na.2011.06.022

Boundary value problems for mixed type equations and applications

Marcus A. Khuri

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniques of Berezanskii, Didenko, and Friedrichs. This method is then used to study a particular class of fully nonlinear mixed type equations which arise in applications to differential geometry.

Original language	English
Pages (from-to)	6405-6415
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	17
DOIs	https://doi.org/10.1016/j.na.2011.06.022
State	Published - Dec 2011

Keywords

Boundary value problems
Isometric embeddings
Mixed type equations
MongeAmpre equations

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10.1016/j.na.2011.06.022

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title = "Boundary value problems for mixed type equations and applications",

abstract = "In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniques of Berezanskii, Didenko, and Friedrichs. This method is then used to study a particular class of fully nonlinear mixed type equations which arise in applications to differential geometry.",

keywords = "Boundary value problems, Isometric embeddings, Mixed type equations, MongeAmpre equations",

author = "Khuri, \{Marcus A.\}",

year = "2011",

month = dec,

doi = "10.1016/j.na.2011.06.022",

language = "English",

volume = "74",

pages = "6405--6415",

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T1 - Boundary value problems for mixed type equations and applications

AU - Khuri, Marcus A.

PY - 2011/12

Y1 - 2011/12

N2 - In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniques of Berezanskii, Didenko, and Friedrichs. This method is then used to study a particular class of fully nonlinear mixed type equations which arise in applications to differential geometry.

AB - In this paper we outline a general method for finding well-posed boundary value problems for linear equations of mixed elliptic and hyperbolic type, which extends previous techniques of Berezanskii, Didenko, and Friedrichs. This method is then used to study a particular class of fully nonlinear mixed type equations which arise in applications to differential geometry.

KW - Boundary value problems

KW - Isometric embeddings

KW - Mixed type equations

KW - MongeAmpre equations

UR - https://www.scopus.com/pages/publications/80051576967

U2 - 10.1016/j.na.2011.06.022

DO - 10.1016/j.na.2011.06.022

M3 - Article

AN - SCOPUS:80051576967

SN - 0362-546X

VL - 74

SP - 6405

EP - 6415

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 17

ER -

Boundary value problems for mixed type equations and applications

Abstract

Keywords

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