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Elliott, C.M. and Stuart, A.M. (1993) The Global Dynamics of Discrete Semilinear Parabolic Equations. SIAM Journal on Numerical Analysis, 30, 1622-1663.
https://doi.org/10.1137/0730084

has been cited by the following article:

• TITLE: On the Caginalp for a Conserve Phase-Field with a Polynomial Potentiel of Order 2p - 1

  AUTHORS: Narcisse Batangouna, Cyr Séraphin Ngamouyih Moussata, Urbain Cyriaque Mavoungou

  KEYWORDS: A Conserved Phase-Field, Polynomial Potentiel of Order 2p - 1, Dirichlet Boundary Conditions, Maxwell-Cattaneo Law

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 7, 2020

  ABSTRACT: Our aim in this paper is to study on the Caginalp for a conserved phase-field with a polynomial potentiel of order 2p - 1. In this part, one treats the conservative version of the problem of generalized phase field. We consider a regular potential, more precisely a polynomial term of the order 2p - 1 with edge conditions of Dirichlet type. Existence and uniqueness are analyzed. More precisely, we precisely, we prove the existence and uniqueness of solutions.