Details

Autor(en) / Beteiligte

• Benia, Yassine
• Scapellato, Andrea

Titel

Existence of solution to Korteweg-de Vries equation in a non-parabolic domain

Ist Teil von

• Nonlinear analysis, 2020-06, Vol.195, p.1

Ort / Verlag

Elmsford: Elsevier BV

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we study the semilinear Korteweg-de Vries equation with time variable coefficients, subject to boundary conditions in a non-parabolic domain. Some assumptions on the boundary of the domain and on the coefficients of the equation will be imposed. The source term and its derivative with respect to t are taken in L2( ). The existence and uniqueness of the solution is obtained by using the parabolic regularization method, the Faedo-Galerkin and a method based on the approximation of the non-parabolic domain by a sequence of subdomains which can be transformed into regular domains. This paper is an extension of the work Benia and Sadallah (2018).