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Theses

Problème de Cauchy global régulier pour quelques équations d'évolution semi-linéaires.

Abstract : This thesis is devoted to the study of regular global solutions for
tow different semi linear evolution equations. In the first part, we study the global regularity of solutions in C-infini for nonlinear weakly hyperbolic equations of four order.
In the second part, We give here examples of equations of type partial_{tt}^2 y - p(t, D_x) y = f(D_y) where p is a singular operator and f is a small C-infini non linear perturbation ( f(0) = 0 ) with regular global solutions when Cauchy data are regular and small.
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https://tel.archives-ouvertes.fr/tel-00115478
Contributor : Hasna Ben Hadj Youssef <>
Submitted on : Tuesday, November 21, 2006 - 2:30:22 PM
Last modification on : Wednesday, December 9, 2020 - 3:11:57 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 7:50:29 PM

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Hasna Ben Hadj Youssef. Problème de Cauchy global régulier pour quelques équations d'évolution semi-linéaires.. Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2006. Français. ⟨tel-00115478⟩

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