Non linear boundary value problem: Faedo-Galerkin methode of the non linear boundary value problem
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this note, we consider a nonlinear boundary value problem. The use of Faedo-Galerkin techniques and a compactness result, while passing to the limit, we prove the existence of the variational solution of the considered problem. A new result is given by showing the uniqueness of the solution basing on the hypotheses which are weaker than those considered by ([6] : J.L. Lions, Quelques m´ethodes de r´esolution des probl`emes aux limites non lin´eaires, Paris, Dunod, (1969)), for a similar problem. We will finish by studying the regularity of the gotten solution.
Açıklama
Anahtar Kelimeler
Compacity, Faedo-galerkin, Gronwall, Cauchy schwartz inequality, Holder inequality, Variational problem
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Boukhatem, Y., Benyattou, B. ve Abita, R. (2009). Non linear boundary value problem: Faedo-Galerkin methode of the non linear boundary value problem. Maltepe Üniversitesi. s. 383.
