On an example of non-uniqueness of solutions of the Cauchy problem for the wave equation

DOI10.3792/pja/1195522962zbMath0148.08502OpenAlexW2068345821MaRDI QIDQ5526370

Hitoshi Kumano-Go

Publication date: 1963

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/1195522962

zbMATH Keywords

partial differential equations

Related Items (4)

Infinitely many non-uniqueness examples for Cauchy problems of the two-dimensional wave and Schrödinger equations ⋮ A timelike Cauchy problem and an inverse problem for general hyperbolic equations ⋮ A priori estimates for certain differential operators with double characteristics ⋮ On differential operators with real characteristics

Cites Work

• Uniqueness in Cauchy problems for differential equations with constant leading coefficients
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• A smooth linear elliptic differential equation without any solution in a sphere
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