On the heat equation with nonlinearity and singular anisotropic potential on the boundary

MF de Almeida, LCF Ferreira, JC Precioso - Potential analysis, 2017 - Springer
This paper concerns with the heat equation in the half-space ℝ+ n R_+^n with nonlinearity
and singular potential on the boundary∂ ℝ+ n ∂R_+^n. We show a well-posedness result …

An approach without using Hardy inequality for the linear heat equation with singular potential

LCF Ferreira, CAAS Mesquita - Communications in Contemporary …, 2015 - World Scientific
The aim of this paper is to employ a strategy known from fluid dynamics in order to provide
results for the linear heat equation ut-Δu-V (x) u= 0 in ℝn with singular potentials. We show …

Local properties of solutions of a semilinear elliptic equation with an inverse-square potential

A Tesei - Journal of Mathematical Sciences, 2008 - Springer
Local properties of solutions of a semilinear elliptic equation with an inverse-square potential
Page 1 Journal of Mathematical Sciences, Vol. 149, No. 6, 2008 LOCAL PROPERTIES OF …

A STRONGLY SINGULAR PARABOLIC PROBLEM ON AN UNBOUNDED DOMAIN.

GP Trachanas… - Communications on Pure …, 2014 - search.ebscohost.com
We study the well-posedness and describe the asymptotic behavior of solutions of a strongly
singular equation for the Cauchy problem on ℝ< sup> N. The strong singularity is exactly the …

[PDF][PDF] EXISTÊNCIA E PROPRIEDADES QUALITATIVAS PARA DOIS TIPOS DE EDP'S COM POTENCIAIS SINGULARES

CAADOSS MESQUITA - repositorio.unicamp.br
Nesta tese, estudamos dois tipos de EDPs com potenciais singulares críticos, a saber, uma
equação elíptica com operador poliharmônico e a equação do calor linear. Para a primeira …

[PDF][PDF] Μελέτη μερικών διαφορικών εξισώσεων με ισχυρές ιδιομορφίες

ΓΠ Τραχανάς - 2015 - dspace.lib.ntua.gr
Περίληψη Η παρούσα διατριβή εντάσσεται στην ευρύτερη περιοχή των Μερικών ιαφορικών
Εξισώσεων. Κύριος στόχος είναι η ανάδειξη των ισχυρών δεσ ών ανά εσα σε εξισώσεις που …

[PDF][PDF] On the heat equation in half-space with nonlinearity and singular anisotropic potential on the boundary

MF de Almeida, LCF Ferreira… - arXiv preprint arXiv …, 2014 - researchgate.net
This paper concerns with the heat equation in the half-space Rn+ with nonlinearity and
singular potential on the boundary∂ Rn+. We develop a well-posedness theory (without …

[引用][C] Локальные свойства решений полулинейного эллиптического уравнения с обратно-квадратичным потенциалом

А Тесей - Современная математика. Фундаментальные …, 2006 - mathnet.ru
Локальные свойства решений полулинейного эллиптического уравнения с Page 1
Современная математика. Фундаментальные направления. Том 17 (2006). С. 29–43 …