carpathian_2023_39_3_667_682In this work, we aim to study the well-posedness of a deterministic problem consisting of the non-linear heat equation of gradient type. The evolution equation emerges by projecting the Laplace operator with Dirichlet boundary conditions and polynomial nonlinearity of degree 
, onto the tangent space of the sphere 
in a Hilbert space 
. We are going to deal with the question of existence and uniqueness based on the Faedo-Galerkin compactness method.
| Author(s) | Hussain, Javed |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2023.03.08 |
An inertial method for solving the split equality fixed point problem with multiple output sets
Asymptotic modeling of non-linear viscopiezoelectric Kelvin-Voigt type plates via Trotter theory
Properties of isocompact spaces in topological groups
Two generalized cyclic projection algorithms for solving a class of the split feasibility problem in real Hilbert spaces
Global-fixed-point property of gyrogroup actions
On simple normal structure and best proximity points in reflexive Banach space
Unified Convergence Analysis of Certain At Least Fifth Order Methods
A set packing model for the Partition Coloring Problem
Cut-through connections of graphs
Positive solutions for multipoint boundary value problem of fractional differential equation with parameter
