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- W4313256616 abstract "We produce a finite time blow-up solution for nonlinear fractional heat equation ( $$partial _t u + (-Delta )^{beta /2}u=u^k$$ ) in modulation and Fourier amalgam spaces on the torus $${mathbb {T}}^d$$ and the Euclidean space $${mathbb {R}}^d.$$ This complements several known local and small data global well-posedness results in modulation spaces on $${mathbb {R}}^d.$$ Our method of proof rely on the formal solution of the equation. This method should be further applied to other non-linear evolution equations." @default.
- W4313256616 created "2023-01-06" @default.
- W4313256616 creator A5045104782 @default.
- W4313256616 date "2022-12-27" @default.
- W4313256616 modified "2023-09-27" @default.
- W4313256616 title "The blow-up solutions for fractional heat equations on torus and Euclidean space" @default.
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- W4313256616 doi "https://doi.org/10.1007/s00030-022-00828-6" @default.
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