[PDF][PDF] Generalized solutions to a singular nonlinear Cauchy problem

V Dévoué - Novi Sad J. Math, 2011‏ - kurims.kyoto-u.ac.jp
Using regularization techniques, we give a meaning to a singular, strong non-linear Cauchy
problem by replacing it by a threeparameter family of Lipschitz, non-characteristic, regular …

Some PDEs problems in generalized Sobolev algebras

S Bernard, SP Nuiro - Journal of Mathematical Analysis and Applications, 2012‏ - Elsevier
The aim of this paper is to prove that the framework of generalized functions of Sobolev type
is more suitable to pose and solve some PDEs problems with very irregular data, than the …

(C, ε, P)-Sheaf Structures and Applications

JA Marti - Nonlinear Theory of Generalized Functions, 2022‏ - taylorfrancis.com
Let C be a ring of generalized numbers, ε a sheaf of algebras on a topological space X and,
for each open set Ω of X, P (Ω) a family of seminorms on ε (Ω). Then, we can construct a …

Applications and Applied Mathematics: An Internationa l Journal (AAM)

US Rana, R Robin - International Journal (AAM)‏ - digitalcommons.pvamu.edu
The main purpose of this paper is to study the existence and properties of solutions of a
certain nonlinear non-Lipschitz hyperbolic partial differential equation in two independent …

Sur les singularités de certains problèmes différentiels

V Devoue - 2005‏ - theses.hal.science
Dans cette thèse nous proposons une méthode pour résoudre certains problèmes de
Cauchy à données irrégulières ou caractéristiques en utilisant les récentes théories des …

[PDF][PDF] On Well-Posedness of a Nonlinear Degenerate Dirichlet Problem with Very Irregular Data

SP Nuiro - … Theme:“Science, Technology and Innovation: Vehicles …‏ - researchgate.net
For the oil activities mathematical modelisation, regard to the domain size, the situation
where the data are carried by neglectible surfaces requires the use of data measures. The …

[PDF][PDF] On a Nonlinear Hyperbolic Partial Differential Equation with Irregular Data.

V Dévoué - Applications & Applied Mathematics, 2014‏ - pvamu.edu
The main purpose of this paper is to study the existence and properties of solutions of a
certain nonlinear non-Lipschitz hyperbolic partial differential equation in two independent …

[معلومات الإصدار][C] Résumé de l'habilitation à diriger des recherches