Pointwise estimates for solutions of semilinear parabolic inequalities with a potential

  • Luigi Montoro

    Università della Calabria, Arcavacata di Rende, Italy
  • Fabio Punzo

    Politecnico di Milano, Italy
  • Berardino Sciunzi

    Università della Calabria, Arcavacata di Rende, Italy

Abstract

We obtain pointwise estimates for solutions of semilinear parabolic equations with a potential on connected domains both of and of general Riemannian manifolds. Our results generalize to the parabolic case those shown in [10] for elliptic equations.

Cite this article

Luigi Montoro, Fabio Punzo, Berardino Sciunzi, Pointwise estimates for solutions of semilinear parabolic inequalities with a potential. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 2, pp. 255–288

DOI 10.4171/RLM/804