Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases
Author:
Funder
Japan Society for the Promotion of Science
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00028-024-00967-6.pdf
Reference21 articles.
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2. H. Brezis and T. Cazenave, A nonlinear heat equation with singular initial data, J. Anal. Math. 68 (1996), 277–304.
3. C. Celik and Z. Zhou, No local $$L^1$$solution for a nonlinear heat equation, Comm. Partial Differential Equations 28 (2003), 1807–1831.
4. Y. Fujishima and N. Ioku, Existence and nonexistence of solutions for the heat equation with a superlinear source term, J. Math. Pures Appl. 118 (2018), 128–158.
5. M. Ghergu, Y. Miyamoto and M. Suzuki, Solvability for time-fractional semilinear parabolic equations with singular initial data, Math. Methods Appl. Sci. 46 (2023), 6686–6704.
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