GLOBAL ATTRACTOR FOR A NONLOCAL -LAPLACE PARABOLIC EQUATION WITH NONLINEARITY OF ARBITRARY ORDER

• Tác giả: Tran Tinh Le
• Ngôn ngữ: eng
• Thông tin xuất bản: Hong Duc University Journal of Science, 2022
• Mô tả vật lý: tr.146
• Bộ sưu tập: Metadata
• ID: 331304

Tóm tắt

In this paper we consider a nonlocal -Laplace parabolic equation depending on the norm of the gradient with nonlinearity of arbitrary order. First, we prove the existence and uniqueness of weak solutions by combining the compactness and monotone methods and the weak convergence techniques in Orlicz spaces. Then, we prove the existence and regularity of a global attractor for the associated semigroup. The main novelty of our results is that no restriction on the upper growth of the nonlinearity is imposed.