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math.AP2023
Local and Global Analysis of Semilinear Heat Equations with Hardy Potential on Stratified Lie Groups
Durvudkhan Suragan, Bharat Talwar
On stratified Lie groups we study a semilinear heat equation with the Hardy potential, a power non-linearity and a forcing term which depends only upon the spacial variable. The an…
math.AP2022★ 4 cited
Fujita exponent on stratified Lie groups
Durvudkhan Suragan, Bharat Talwar
We prove that is the Fujita exponent for a semilinear heat equation on an arbitrary stratified Lie group with homogeneous dimension . This covers the Euclidean c…
math.AP2022
Nonexistence of solutions of certain semilinear heat equations
Durvudkhan Suragan, Bharat Talwar
We consider a semilinear heat equation involving a forcing term which depends only on the space variable. To start with, the existence of a local mild solution is proved through an…