Geometrical optics and the corner problem

DOI10.1007/BF00279820zbMath0296.35053OpenAlexW2049928716MaRDI QIDQ1213574

S. Singh

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00279820

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (8)

Smooth Solutions of Initial-Value Problems in Regions with Corners ⋮ 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 ⋮ WKB EXPANSIONS FOR HYPERBOLIC BOUNDARY VALUE PROBLEMS IN A STRIP: SELFINTERACTION MEETS STRONG WELL-POSEDNESS ⋮ Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation ⋮ WKB expansions for weakly well-posed hyperbolic boundary value problems in a strip: Time depending loss of derivatives ⋮ An ill-posed problem for a strictly hyperbolic equation in two unknowns near a corner ⋮ Hyperbolic boundary value problems with trihedral corners

Cites Work

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• Asymptotic solutions of oscillatory initial value problems
• On hyperbolic mixed problems
• Mixed problems for hyperbolic equations of second order
• On strong hyperbolicity
• Hyperbolic initial-boundary value problems in two unknowns
• Lacunas for hyperbolic differential operators with constant coefficients.I
• On mixed problems for hyperbolic systems of first order with constant coefficients
• Mixed problems for hyperbolic equations. II: Existence theorems with zero initial datas and energy inequalities with initial datas
• Fourier integral operators. I
• Energy and resolvent inequalities for hyperbolic mixed problems
• Fourier integral operators. II
• Initial-boundary value problems for first order hyperbolic systems
• On a class of Volterra equations of the first kind
• On the validity of the geometrical theory of diffraction by star-shaped cylinders
• An ill posed problem for a hyperbolic equation near a corner
• Exact and asymptotic solutions of the cauchy problem
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
• On weak and strong solutions of boundary value problems
• An inequality for the reduced wave operator and the justification of geometrical optics
• On wave fronts, and boundary waves
• Initial boundary value problems for hyperbolic systems
• On certain mixed problem for hyperbolic equations of higher order, III
• Solutions of the wave equation with localized energy
• On the wave equation in a multi‐dimensional corner
• L₂ is a continuable initial condition for kreiss' mixed problems
• Initial-Boundary Value Problems for Hyperbolic Systems in Regions with Corners. I

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