On the degenerate hyperbolic Goursat problem for linear and nonlinear equations of Tricomi type

DOI10.1016/j.na.2014.05.009zbMath1297.35145OpenAlexW2003118335MaRDI QIDQ2509644

Daniela Lupo, Kevin R. Payne, Nedyu Iv. Popivanov

Publication date: 29 July 2014

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

Full work available at URL: http://hdl.handle.net/2434/236280

zbMATH Keywords

generalized solutionspartial regularitywell-posednesscritical exponentsspectral theoryintegral representation of solutionsdegenerate hyperbolic equationsmaximum and comparison principlescharacteristic trianglestopological methods of nonlinear analysis

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Critical exponents in context of PDEs (35B33) Maximum principles in context of PDEs (35B50) Integral representations of solutions to PDEs (35C15) Weak solutions to PDEs (35D30) Degenerate hyperbolic equations (35L80) Strong solutions to PDEs (35D35) Comparison principles in context of PDEs (35B51) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (9)

Virtual element method for semilinear hyperbolic problems on polygonal meshes ⋮ On Tricomi problem of Chaplygin's hodograph equation ⋮ Solutions with exponential singularity for (3 + 1)-D Protter problems ⋮ On the coefficient inverse problem of heat conduction in a degenerating domain ⋮ On the existence and uniqueness of a generalized solution of the Protter problem for \((3+1)\)-D Keldysh-type equations ⋮ Singular solutions to a (3 + 1)-D Protter-Morawetz problem for Keldysh-type equations ⋮ On linear and nonlinear heat equations in degenerating domains ⋮ Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations ⋮ On the NBVP for semilinear hyperbolic equations

Cites Work

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