An example of nonuniqueness of the cauchy problem for the heat equation

DOI10.1080/03605309408821054zbMath0810.35031OpenAlexW2039937142MaRDI QIDQ4304245

Soon-Yeong Chung, Dohan Kim

Publication date: 10 April 1995

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309408821054

zbMATH Keywords

homogeneous Cauchy problemexample of nonuniqueness

Mathematics Subject Classification ID

Heat equation (35K05)

Related Items (8)

A uniqueness result on cauchy problem related to jump-type markov processes with unbounded characteristics ⋮ An iterative estimation for disturbances of semi-wavefronts to the delayed Fisher-KPP equation ⋮ Positive definite temperature functions and a correspondence to positive temperature functions ⋮ Positive definiteness of temperature functions ⋮ Bounds on short cylinders and uniqueness in Cauchy problem for degenerate Kolmogorov equations ⋮ An integral transformation and its applications to harmonic analysis on the space of solutions of heat equation ⋮ Uniqueness in the Cauchy problem for the heat equation ⋮ An example of nonuniqueness of the Cauchy problem for the Hermite heat equation

Cites Work

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• Some examples of analytic functionals with carrier at the infinity
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• A Temperature Function Which Vanishes Initially

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