Nonanalyticity of solutions to ∂tu=∂x2u+u2

DOI10.4064/cm95-2-9zbMath1024.35022OpenAlexW2328471122MaRDI QIDQ4425029

Grzegorz Łysik

Publication date: 9 September 2003

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm95-2-9

zbMATH Keywords

semilinear heat equationGevrey spacesbinomial estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Nonlinear parabolic equations (35K55) Analyticity in context of PDEs (35A20) Cauchy-Kovalevskaya theorems (35A10) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Non-analyticity in time of solutions to the KdV equation ⋮ Well-posedness and regularity of the generalized Burgers equation in periodic Gevrey spaces ⋮ Formal solutions of semilinear heat equations

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