Non-uniqueness of Solutions of a Semilinear Heat Equation with Singular Initial Data-Reference-Cited by-同舟云学术

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Non-uniqueness of Solutions of a Semilinear Heat Equation with Singular Initial Data

Published:2017 Issue: Volume: Page:138-148
ISSN:2194-1009
Container-title:Patterns of Dynamics
language:
Short-container-title:

Author:

Fila Marek,Matano Hiroshi,Yanagida Eiji

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-319-64173-7_9

Reference29 articles.

1. Angenent, S.B., Chopp, D., Ilmanen, T.: A computed example of nonuniqueness of mean curvature flow in $${\mathbb{R}}^3$$ R 3 . Commun. Partial Differ. Equ. 20, 1937–1958 (1995)

2. Baras, P.: Nonunicité des solutions d’une équation d’évolution nonlinéaire. Ann. Fac. Sci. Toulouse 5, 287–302 (1983)

3. Biernat, P., Bizoń, P.: Shrinkers, expanders, and the unique continuation beyond generic blowup in the heat flow for harmonic maps between spheres. Nonlinearity 24, 2211–2228 (2011)

4. Brezis, H., Cazenave, T.: A nonlinear heat equation with singular initial data. J. Anal. Math. 68, 277–304 (1996)

5. Dohmen, C., Hirose, M.: Structure of positive radial solutions to the Haraux-Weissler equation. Nonlinear Anal. 33, 51–69 (1998)

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1. Perturbations of self-similar solutions;Dynamics of Partial Differential Equations;2019

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