Fundamental solutions of mixed problems for hyperbolic equations with constant coefficients

DOI10.3792/PJA/1195518556zbMath0322.35053OpenAlexW2050558603MaRDI QIDQ4084653

Mikio Tsuji

Publication date: 1975

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518556

Mathematics Subject Classification ID

Initial value problems for higher-order hyperbolic equations (35L30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (5)

Propagation of singularities of fundamental solutions of hyperbolic mixed problems ⋮ On the singularities of the Riemann functions of mixed problems for the wave equation in plane-stratified media, I ⋮ On the singularities of the Riemann functions of mixed problems for the wave equation in plane-stratified media, I ⋮ Singularities of the Riemann functions of hyperbolic mixed problems in a quarter-space ⋮ Analytic wave front sets of the Riemann functions of hyperbolic mixed problems in a quarter-space

Cites Work

• \(E\)-well posedness for hyperbolic mixed problems with constant coefficients
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Analyticity of solutions of hyperbolic mixed problems
• Singularities of the Riemann functions of hyperbolic mixed problems in a quarter-space
• On wave fronts, and boundary waves
• On the singularities of solutions of partial differential equations
• Localization theorem in hyperbolic mixed problems

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