JournalsrlmVol. 21, No. 4pp. 359–396

On a semilinear parabolic equation with inverse-square potential

  • Fabio Punzo

    Università degli Studi di Milano, Italy
  • Alberto Tesei

    Università di Roma La Sapienza, Italy
On a semilinear parabolic equation with inverse-square potential cover
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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.

Cite this article

Fabio Punzo, Alberto Tesei, On a semilinear parabolic equation with inverse-square potential. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 21 (2010), no. 4, pp. 359–396

DOI 10.4171/RLM/578