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Communications in Partial Differential Equations Volume 21, 1996 - Issue 1-2
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Original Articles

A smooth solution for a keldysh type equation

Sunčica Čanić Mathematics Department, Iowa State University, Ames, Iowa, 50011
&
Barbara Lee Keyfitz Department of mathematics, University of Houston, Houston, Texas, 77204-3476
Pages 319-340 | Received 01 May 1995, Published online: 05 Aug 2008

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Kyungwoo Song. (2003) The Pressure-Gradient System on Non-smooth Domains. Communications in Partial Differential Equations 28:1-2, pages 199-221.
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Zheng Yuxi. (1997) Existence of solutions to the transonic pressure gradient equations of the compressible euler equations in elliptic Regions. Communications in Partial Differential Equations 22:11-12, pages 1849-1868.
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Articles from other publishers (20)

Mahammad A. Nurmammadov. (2022) The Existence and Uniqueness of a New Boundary Value Problem (Type of Problem “E”) for a Class of Semi Linear (Power Type Nonlinearities) Mixed Hyperbolic-Elliptic System Equations of Keldysh Type with Changing Time Direction. Acta Mathematicae Applicatae Sinica, English Series 38:4, pages 763-777.
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Nedyu Popivanov, Tsvetan Hristov & Rudolf Scherer. Singular solutions of 3-D Protter-Morawetz problem for weakly hyperbolic equations of Tricomi type. Singular solutions of 3-D Protter-Morawetz problem for weakly hyperbolic equations of Tricomi type.
Jeffrey Galkowski & Maciej Zworski. (2021) Analytic hypoellipticity of Keldysh operators. Proceedings of the London Mathematical Society 123:5, pages 498-516.
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Nedyu Popivanov, Tsvetan Hristov, Aleksey Nikolov & Manfred Schneider. (2017) On the existence and uniqueness of a generalized solution of the Protter problem for ( 3 + 1 ) $(3+1)$ -D Keldysh-type equations. Boundary Value Problems 2017:1.
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Nedyu Popivanov, Tsvetan Hristov, Aleksey Nikolov & Manfred Schneider. (2017) Singular Solutions to a (3 + 1)-D Protter-Morawetz Problem for Keldysh-Type Equations. Advances in Mathematical Physics 2017, pages 1-16.
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Mary Chern & Barbara Lee Keyfitz. (2016) The unsteady transonic small disturbance equation: Data on oblique curves. Discrete and Continuous Dynamical Systems 36:8, pages 4213-4225.
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Tsvetan Hristov, Aleksey Nikolov, Nedyu Popivanov & Manfred Schneider. Generalized solutions of Protter problem for (3+1)-D Keldysh type equations. Generalized solutions of Protter problem for (3+1)-D Keldysh type equations.
Daniela Lupo, Dario D. Monticelli & Kevin R. Payne. (2014) On the Dirichlet Problem of Mixed Type for Lower Hybrid Waves in Axisymmetric Cold Plasmas. Archive for Rational Mechanics and Analysis 217:1, pages 37-69.
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Tsvetan Hristov, Nedyu Popivanov & Manfred Schneider. Protter problem for 3-D Keldysh type equations involving lower order terms. Protter problem for 3-D Keldysh type equations involving lower order terms.
Thomas H. OtwayThomas H. Otway. 2012. The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type. The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type 1 11 .
K. JEGDIĆ. (2011) WEAK REGULAR REFLECTION FOR THE NONLINEAR WAVE SYSTEM. Journal of Hyperbolic Differential Equations 05:02, pages 399-420.
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Eun Heui Kim. (2005) Free boundary and mixed boundary value problems for quasilinear elliptic equations: tangential oblique derivative and degenerate Dirichlet boundary problems. Journal of Differential Equations 211:2, pages 407-451.
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Eun Heui Kim. (2004) A class of singular Gierer–Meinhardt systems of elliptic boundary value problems. Nonlinear Analysis: Theory, Methods & Applications 59:3, pages 305-318.
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BARBARA LEE KEYFITZ. (2012) SELF-SIMILAR SOLUTIONS OF TWO-DIMENSIONAL CONSERVATION LAWS. Journal of Hyperbolic Differential Equations 01:03, pages 445-492.
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Sunčica Čanić & Eun Heui Kim. (2003) A class of quasilinear degenerate elliptic problems. Journal of Differential Equations 189:1, pages 71-98.
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Sunčica Čanić, Barbara Lee Keyfitz & Eun Heui Kim. (2001) A free boundary problem for a quasi‐linear degenerate elliptic equation: Regular reflection of weak shocks. Communications on Pure and Applied Mathematics 55:1, pages 71-92.
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Y.S. Choi & E.H. Kim. (2001) On a class of semipositone quasilinear elliptic boundary value problems. Nonlinear Analysis: Theory, Methods & Applications 46:7, pages 987-996.
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Irene M. Gamba, Rodolfo R. Rosales & Esteban G. Tabak. (1999) Constraints on possible singularities for the unsteady transonic small disturbance (UTSD) equations. Communications on Pure and Applied Mathematics 52:6, pages 763-779.
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Barbara Lee Keyfitz & Suncica Canic. (1998) Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation. SIAM Journal on Applied Mathematics 58:2, pages 636-665.
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Wolfgang Reichel. 1997. General Inequalities 7. General Inequalities 7 375 387 .

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