The heat equation for the Dirichlet fractional Laplacian with negative potentials: Existence and blow-up of nonnegative solutions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
http://link.springer.com/article/10.1007/s10114-017-6246-8/fulltext.html
Reference22 articles.
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2. Bogdan, K., Byczkowski, T., Kulczycki, T., et al.: Potential Analysis of Stable Processes and Its Extensions, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 2009
3. Baras, P., Goldstein, J. A.: The heat equation with a singular potential. Trans. Amer. Math. Soc., 284(1), 121–139 (1984)
4. Bogdan, K., Grzywny, T., Ryznar, M.: Heat kernel estimates for the fractional Laplacian with Dirichlet conditions. Ann. Probab., 38(5), 1901–1923 (2010)
5. Cabré, X., Martel, Y.: Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier. C. R. Acad. Sci. Paris Sér. I Math., 329(11), 973–978 (1999)
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