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 …
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 …
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 …
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 …
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 …
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 …
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 …