We study existence and uniqueness, nonexistence and nonuniqueness of nonnegative solutions to a semilinear parabolic equation with inverse-square potential. Analogous existence and nonexistence results for the companion elliptic equation were proved in [4]. Concerning nonuniqueness, we extend the results proved in [16] for the case without potential.
On a semilinear parabolic equation with inverse-square potential
PUNZO, FABIO;
2010-01-01
Abstract
We study existence and uniqueness, nonexistence and nonuniqueness of nonnegative solutions to a semilinear parabolic equation with inverse-square potential. Analogous existence and nonexistence results for the companion elliptic equation were proved in [4]. Concerning nonuniqueness, we extend the results proved in [16] for the case without potential.File in questo prodotto:
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