REGULARITY OF WEAKLY WELL POSED HYPERBOLIC MIXED PROBLEMS WITH CHARACTERISTIC BOUNDARY

DOI10.1142/S021989161100238XzbMath1228.35135MaRDI QIDQ3004761

Paolo Secchi, Alessandro Morando

Publication date: 3 June 2011

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemanisotropic Sobolev spacestangential regularitysymmetrizable systemsweak well posednesscharacteristic boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (10)

Boundary conditions for constrained hyperbolic systems of partial differential equations ⋮ Regularity of weakly well posed non characteristic boundary value problems ⋮ Regularity of weakly well-posed characteristic boundary value problems ⋮ Existence and stability for the 3D linearized constant-coefficient incompressible current-vortex sheets ⋮ A higher-order Hardy-type inequality in anisotropic Sobolev spaces ⋮ Finite speed of propagation for mixed problems in the \(WR\) class ⋮ Stability of the linearized MHD-Maxwell free interface problem ⋮ On a priori energy estimates for characteristic boundary value problems ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks ⋮ The research of Paolo Secchi

Cites Work

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• Regularity of solutions to non-uniformly characteristic boundary value problems for symmetric systems
• Generic types and transitions in hyperbolic initial–boundary-value problems
• The stability of compressible vortex sheets in two space dimensions
• Linear symmetric hyperbolic systems with characteristic boundary
• REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS

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