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A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type

✍ Scribed by S. Agmon; L. Nirenberg; M. H. Frotter

Publisher: John Wiley and Sons
Year: 1953
Tongue: English
Weight: 901 KB
Volume: 6
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160060402

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📜 SIMILAR VOLUMES

Critical exponents for semilinear equati

Critical exponents for semilinear equations of mixed elliptic-hyperbolic and degenerate types

✍ Daniela Lupo; Kevin R. Payne 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 222 KB

## Abstract For semilinear Gellerstedt equations with Tricomi, Goursat or Dirichlet boundary conditions we prove Pohozaev type identities and derive non existence results that exploit an invariance of the linear part with respect to certain nonhomogeneous dilations. A critical exponent phenomenon o

A weak solution for a system of equation

A weak solution for a system of equations of elliptic-hyperbolic type

✍ Cathleen S. Morawetz 📂 Article 📅 1958 🏛 John Wiley and Sons 🌐 English

On closed boundary value problems for eq

On closed boundary value problems for equations of mixed elliptic-hyperbolic type

✍ Daniela Lupo; Cathleen S. Morawetz; Kevin R. Payne 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 220 KB

## Abstract For partial differential equations of mixed elliptic‐hyperbolic type we prove results on existence and existence with uniqueness of weak solutions for __closed__ boundary value problems of Dirichlet and mixed Dirichlet‐conormal types. Such problems are of interest for applications to tr

Erratum: On closed boundary value proble

Erratum: On closed boundary value problems for equations of mixed elliptic-hyperbolic type

✍ Daniela Lupo; Cathleen S. Morawetz; Kevin R. Payne 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 28 KB

Global solutions to a class of nonlinear

Global solutions to a class of nonlinear hyperbolic systems of equations

✍ Ronald J. Diperna 📂 Article 📅 1973 🏛 John Wiley and Sons 🌐 English ⚖ 891 KB

The results of this paper are contained in a doctoral thesis submitted to the Graduate School of Arts and Sciences of New York University. Reproduction in whole or in part is permitted for any purpose of the United States Government.

A Kinetic Method for Hyperbolic–Elliptic

A Kinetic Method for Hyperbolic–Elliptic Equations and Its Application in Two-Phase Flow

✍ K. Xu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 132 KB

A kinetic method for hyperbolic-elliptic equations is presented in this paper. In the mixed type system, the coexistence of liquid and gas and the phase transition between them are described by the van der Waals-type equation of state (EOS). Because the fluid is unstable in the elliptic region, the