Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501690 | Journal of Differential Equations | 2005 | 38 Pages |
Abstract
We investigate existence, nonexistence and asymptotical behaviour-both at the origin and at infinity-of radial self-similar solutions to a semilinear parabolic equation with inverse-square potential. These solutions are relevant to prove nonuniqueness of the Cauchy problem for the parabolic equation in certain Lebesgue spaces, generalizing the result proved by Haraux and Weissler [Non-uniqueness for a semilinear initial value problem, Indiana Univ. Math. J. 31 (1982) 167-189] for the case of vanishing potential.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Guillermo Reyes, Alberto Tesei,