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math.AP2024
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…
math.AP2024
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…