Méthodes de résolution d'équations algébriques et d'évolution en dimension finie et infinie

Abstract : In this work, we solve algebraic and evolution equations in finite and infinite-dimensional sapces. In the first chapter, we use the Galerkin method to study existence and maximal regularity of solutions of a gradient abstract system with applications to non-linear diffusion equations and to non-degenerate quasilinear parabolic equations with nonlocal coefficients. In the second chapter, we Study local existence, uniqueness and maximal regularity of solutions of the curve shortening flow equation by using the local inverse theorem. Finally, in the third chapter, we solve an algebraic equation between two Banach spaces by using the continuous Newton?s method and we apply this result to solve a non-linear ordinary differential equation with periodic boundary conditions.
Document type :
Theses
Complete list of metadatas

Cited literature [54 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/tel-01752934
Contributor : Thèses Ul <>
Submitted on : Thursday, March 29, 2018 - 2:02:15 PM
Last modification on : Monday, April 16, 2018 - 10:42:48 AM

File

Boussandel.Sahbi.SMZ1027.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-01752934, version 1

Collections

Citation

Sahbi Boussandel. Méthodes de résolution d'équations algébriques et d'évolution en dimension finie et infinie. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 2010. Français. ⟨NNT : 2010METZ027S⟩. ⟨tel-01752934⟩

Share

Metrics

Record views

31

Files downloads

23