Existence of global solutions to a semilinear pseudo-parabolic equation
Existence of global solutions to a semilinear pseudo-parabolic equation
In this article, we consider a semilinear pseudo parabolic heat equation with the nonlinearity which is the product of logarithmic and polynomial functions. Here we prove the global existence of solution to the problem for arbitrary dimension $n \geq 1$ and power index $p>1$. Asymptotic behaviour of the solution has …