We consider the solution u of the Cauchy-Dirichlet problem for a class of linear parabolic equations in which the coefficient of the zero order term could have a singularity at the origin of the type 1/|x|^2. We prove that u can be compared "in the sense of rearrangements" with the solution of a problem whose data are radially symmetric with respect to the space variable.

Comparison results for solutions of parabolic equations with a singular potential / Volpicelli, Roberta; Volzone, Bruno. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - 62:1(2007), pp. 135-156.

Comparison results for solutions of parabolic equations with a singular potential

VOLPICELLI, ROBERTA;VOLZONE, BRUNO
2007

Abstract

We consider the solution u of the Cauchy-Dirichlet problem for a class of linear parabolic equations in which the coefficient of the zero order term could have a singularity at the origin of the type 1/|x|^2. We prove that u can be compared "in the sense of rearrangements" with the solution of a problem whose data are radially symmetric with respect to the space variable.
2007
Comparison results for solutions of parabolic equations with a singular potential / Volpicelli, Roberta; Volzone, Bruno. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - 62:1(2007), pp. 135-156.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/168072
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