Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation

We consider a strongly damped quasilinear membrane equation with Dirichlet boundary condition. The goal is to prove the well-posedness of the equation in weak and strong senses. By setting suitable function spaces and making use of the properties of the quasilinear term in the equation, we have prov...

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Bibliographic Details
Main Author: Jin-soo Hwang
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2017/4529847