Nous prouvons l’existence de solutions d’énergie finie pour un problème de Dirichlet linéaire avec un terme de la forme , où et est dans . Le résultat est obtenu en utilisant une fonction non linéaire de comme fonction test, afin d’“annuler” ce terme.
We prove existence of finite energy solutions for a linear Dirichlet problem with a drift and a convection term of the form , with and in . The result is obtained using a nonlinear function of as test function, in order to “cancel” this term.
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Lucio Boccardo 1 ; Juan Casado-Diaz 2 ; Luigi Orsina 3
@article{CRMATH_2024__362_G3_301_0, author = {Lucio Boccardo and Juan Casado-Diaz and Luigi Orsina}, title = {Dirichlet problems with skew-symmetric drift terms}, journal = {Comptes Rendus. Math\'ematique}, pages = {301--306}, publisher = {Acad\'emie des sciences, Paris}, volume = {362}, year = {2024}, doi = {10.5802/crmath.564}, language = {en}, }
Lucio Boccardo; Juan Casado-Diaz; Luigi Orsina. Dirichlet problems with skew-symmetric drift terms. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 301-306. doi : 10.5802/crmath.564. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.564/
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