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 |
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