Local existence for evolution equations with nonlocal term in time and singular initial data-Reference-Cited by-同舟云学术

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Local existence for evolution equations with nonlocal term in time and singular initial data

Published:2022-04 Issue:2 Volume:73 Page:
ISSN:0044-2275
Container-title:Zeitschrift für angewandte Mathematik und Physik
language:en
Short-container-title:Z. Angew. Math. Phys.

Author:

Aparcana Aldryn,Castillo Ricardo,Guzmán-Rea Omar,Loayza Miguel^ORCID

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Universidad del Bío-Bío

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00033-022-01723-x.pdf

Reference37 articles.

1. Andrade, B., Viana, A.: Abstract Volterra integrodifferential equations with applications to parabolic models with memory. Math. Ann. 369(3–4), 1131–1175 (2017)

2. Bellout, H.: Blow-up of solution of parabolic equations with nonlinear memory. J. Differ. Equ. 70, 42–68 (1987)

3. Blumenthal, R.M., Getoor, R.K.: Some theorems on stable processes. Trans. Am. Math. Soc. 95, 263–273 (1960)

4. Bogdan, K., Byczkowski, T.: Potential theory for the stable Schrödinger operators on bounded Lipschitz domains. Stud. Math. 133, 53–92 (1999)

5. Bogdan, K., Grzywny, T., Ryznar, M.: Heat kernel estimates for the fractional Laplacian with Dirichlet conditions. Ann. Probab. 38, 1901–1923 (2010)

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