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EXISTENCE OF SOLUTIONS TO A FRACTIONAL SEMILINEAR HEAT EQUATION IN UNIFORMLY LOCAL WEAK ZYGMUND-TYPE SPACES

Analysis and PDE (2025) 18(6) 1477-1510
DOI: 10.2140/apde.2025.18.1477
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Abstract

We introduce uniformly local weak Zygmund-type spaces and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear heat equation.

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Ioku, N., Ishige, K., & Kawakami, T. (2025). EXISTENCE OF SOLUTIONS TO A FRACTIONAL SEMILINEAR HEAT EQUATION IN UNIFORMLY LOCAL WEAK ZYGMUND-TYPE SPACES. Analysis and PDE, 18(6), 1477–1510. https://doi.org/10.2140/apde.2025.18.1477

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