Breakdown of \(C^{\infty}\)-smoothing effects of solutions to the semilinear heat equation in the whole space
DOI10.3934/cpaa.2024037zbMath1545.35029MaRDI QIDQ6587234
Publication date: 13 August 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
power nonlinearitysemilinear heat equationclassical solutionssmoothing effectssign-changing solutions
Smoothness and regularity of solutions to PDEs (35B65) Function spaces arising in harmonic analysis (42B35) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Classical solutions to PDEs (35A09)
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