Initial-Boundary Value Problems for Hyperbolic Systems in Regions with Corners. II

DOI10.2307/1996752zbMath0256.35051OpenAlexW4245405650MaRDI QIDQ5671064

Stanley J. Osher

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996752

Mathematics Subject Classification ID

Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (13)

Transmission-propagation-diffraction operator theory for an arbitrary acoustic two-block model ⋮ Smooth Solutions of Initial-Value Problems in Regions with Corners ⋮ Feasible fundamental solution of the multiphysics wave equation in inhomogeneous domains of complex shape ⋮ Persistence of regularity of the solution to a hyperbolic boundary value problem in domain with corner ⋮ Geometric Optics Expansions for Hyperbolic Corner Problems II: From Weak Stability to Violent Instability ⋮ The linearized 2D inviscid shallow water equations in a rectangle: boundary conditions and well-posedness ⋮ The linear hyperbolic initial and boundary value problems in a domain with corners ⋮ The nonlinear 2D subcritical inviscid shallow water equations with periodicity in one direction ⋮ Lower exponential strong well-posedness of hyperbolic boundary value problems in a strip ⋮ The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation ⋮ Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation ⋮ Justification of the Courant-Friedrich's hypothesis in the case of a weak shock. I. Presentation of solution to linear problem ⋮ The 2D compressible Euler equations in bounded impermeable domains with corners

Cites Work

• Unnamed Item
• Mixed problems for hyperbolic equations. II: Existence theorems with zero initial datas and energy inequalities with initial datas
• An ill posed problem for a hyperbolic equation near a corner
• On weak and strong solutions of boundary value problems
• Initial boundary value problems for hyperbolic systems
• On the wave equation in a multi‐dimensional corner
• Initial-Boundary Value Problems for Hyperbolic Systems in Regions with Corners. I

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