The Hardy inequality and large time behaviour of the heat equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mo linebreak="badbreak" linebreakstyle="after">−</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mo>∞</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup></mml:math>-Reference-Cited by-同舟云学术

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The Hardy inequality and large time behaviour of the heat equation on RN−k×(0,∞)k

Published:2023-12 Issue: Volume:375 Page:682-705
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Cazacu Cristian,Ignat Liviu I.,Manea Dragoş^ORCID

Funder

Ministerul Cercetării, Inovării şi Digitalizării

Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference25 articles.

1. Strong regularizing effect of a gradient term in the heat equation with the Hardy potential;Abdellaoui;J. Funct. Anal.,2010

2. The heat equation with a singular potential;Baras;Trans. Am. Math. Soc.,1984

3. Functional Analysis, Sobolev Spaces and Partial Differential Equations;Brezis,2010

4. Hardy's inequalities revisited, vol. 25;Brezis,1997

5. Blow-up solutions of some nonlinear elliptic problems;Brezis;Rev. Mat. Univ. Complut. Madrid,1997

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