Elastic waves in two solids as propagation of singularities phenomenon

DOI10.1017/S0027763000001677zbMath0692.73033OpenAlexW1545045657MaRDI QIDQ3034944

Kazuhiro Yamamoto

Publication date: 1989

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000001677

zbMATH Keywords

first-order systemexistence theoremsself-adjoint operatorspseudo-differential operatorsinitial boundary-value problemstheory of raysellipticity of the interface regionnon-flat interfaceStonely-like disturbancestwo linear elastic isotropic media

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Bulk waves in solid mechanics (74J10) Composite and mixture properties (74E30) Surface waves in solid mechanics (74J15) Waves in solid mechanics (74J99)

Related Items (5)

Reflective and refractive phenomena of elastic waves tangential to the boundary in two solids as a propagation of singularities ⋮ Rayleigh and Stoneley waves in linear elasticity ⋮ Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators ⋮ The transmission problem in linear isotropic elasticity ⋮ Recovery of discontinuous Lamé parameters from exterior Cauchy data

Cites Work

• Fourier integral operators. I
• Fourier integral operators. II
• Reflection of singularities of solutions to systems of differential equations
• Singularities of boundary value problems. I

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