Abstract
In this paper, we study the initial value problem for parabolic non-autonomous equations with multiple nonlinearities. We develop a splitting method that allows us to analyze equations with several nonlinear terms. We use the method to prove well-posedness of the fractional one-dimensional nonlinear heat equation, with a potential term in almost periodic spaces.
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Acknowledgements
This work was supported by Universidad Abierta Interamericana (UAI), IMAS-UBA CONICET–Argentina and the project “Ecuaciones diferenciales no lineales de las ciencias naturales” UBACYT: 20020190200399BA.
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Besteiro, A., Rial, D. Multiple Splitting for Parabolic Equations in Almost Periodic Spaces. Mediterr. J. Math. 19, 122 (2022). https://doi.org/10.1007/s00009-022-02036-z
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DOI: https://doi.org/10.1007/s00009-022-02036-z