On the \(C^{\infty}\)-well-posedness of Goursat problems

DOI10.2977/PRIMS/1195178934zbMath0661.35057OpenAlexW2226124228MaRDI QIDQ1113014

Takeshi Mandai

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178934

zbMATH Keywords

Goursatcharacteristic initial value problems

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order hyperbolic equations (35L30)

Cites Work

• The Cauchy problem for effectively hyperbolic equations (a special case)
• On the \(\mathcal S\)-well posedness for the Goursat problem with constant coefficients
• On the \(C^\infty\)-Goursat problem for equations with constant coefficients
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Unnamed Item

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