A class of strongly damped nonlinear wave equation solution of N-demensional space and its properties
LIAO Yang
ZHOU Xiao-yu
Abstract：The properties of three dimensional space solution of strongly damped nonlinear wave equation by 3 D was expanded to N dimensional space (N>3 ).A standard Galerkin method and the Sobolev embedding theo-rem were utilized to study the existence of weak solution under the space.The inner product was used to make the solution’s dissipation estimates,and the Gronwall lemma was used to prove the existence of the attractor.
Keywords：N-demensional spacestrongly dampedwave equationglobal attractorsregularity
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 95-99 )