ON THE MAXIMUM PRINCIPLE FOR GENERALIZED SOLUTIONS TO THE TRICOMI PROBLEM

DOI10.1142/S0219199700000220zbMath1055.35076OpenAlexW1978769486MaRDI QIDQ2707942

Daniela Lupo, Kevin R. Payne

Publication date: 2000

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199700000220

zbMATH Keywords

generalized solutionsweighted Sobolev spacesMaximum principleTricomi problemnormal domains

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Maximum principles in context of PDEs (35B50)

Related Items (8)

Regularity and a Liouville theorem for a class of boundary-degenerate second order equations ⋮ Integral Transform Approach to Time-Dependent Partial Differential Equations ⋮ Integral transform approach to generalized Tricomi equations ⋮ Spectral bounds for Tricomi problems and application to semilinear existence and existence with uniqueness results ⋮ On the degenerate hyperbolic Goursat problem for linear and nonlinear equations of Tricomi type ⋮ Newton flow of the Riemann zeta function: separatrices control the appearance of zeros ⋮ Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction ⋮ Prospects for a central theory of partial differential equations

Cites Work

• A dual variational approach to a class of nonlocal semilinear Tricomi problems
• Interior regularity of solutions of the Tricomi problem
• Interior regularity of the Dirichlet problem for the Tricomi equation
• An extremum principle for the generalized solution of an equation of mixed type with lowest terms
• Sur le problème de Tricomi
• On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations
• An expression for Green’s function for a particular Tricomi problem
• Symmetric positive linear differential equations
• A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type

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