On global solutions for the Cauchy problem of a Boussinesq-type equation

Taşkesen, HaticePolat, NecatErtaş, Abdulkadir2024-04-032024-04-032012Taşkesen, H., Polat, N. ve Ertaş, A. (2012). On global solutions for the Cauchy problem of a Boussinesq-type equation. Abstract and Applied Analysis, 2012, 1-11.1687-0409https://www.hindawi.com/journals/aaa/2012/535031/https://hdl.handle.net/11468/13816We will give conditions which will guarantee the existence of global weak solutions of the Boussinesq-type equation with power-type nonlinearity γ|u| p and supercritical initial energy. By defining new functionals and using potential well method, we readdressed the initial value problem of the Boussinesq-type equation for the supercritical initial energy case.eninfo:eu-repo/semantics/openAccessBoussinesq-type equationCauchy problemOn global solutions for the Cauchy problem of a Boussinesq-type equationOn global solutions for the Cauchy problem of a Boussinesq-type equationArticle2012111WOS:0003075652000012-s2.0-8486495953810.1155/2012/535031Q2Q1