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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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2017/4529847 |
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| _version_ | 1849308162733113344 |
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| author | Jin-soo Hwang |
| author_facet | Jin-soo Hwang |
| author_sort | Jin-soo Hwang |
| collection | DOAJ |
| description | 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 proved the fundamental results on existence, uniqueness, and continuous dependence on data including bilinear term of weak and strong solutions. |
| format | Article |
| id | doaj-art-16d23a403ec445d988fefcdc7a2cd23c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-16d23a403ec445d988fefcdc7a2cd23c2025-08-20T03:54:32ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/45298474529847Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane EquationJin-soo Hwang0Department of Mathematics Education, College of Education, Daegu University, Jillyang, Gyeongsan, Gyeongbuk, Republic of KoreaWe 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 proved the fundamental results on existence, uniqueness, and continuous dependence on data including bilinear term of weak and strong solutions.http://dx.doi.org/10.1155/2017/4529847 |
| spellingShingle | Jin-soo Hwang Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation Abstract and Applied Analysis |
| title | Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation |
| title_full | Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation |
| title_fullStr | Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation |
| title_full_unstemmed | Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation |
| title_short | Weak and Strong Solutions for a Strongly Damped Quasilinear Membrane Equation |
| title_sort | weak and strong solutions for a strongly damped quasilinear membrane equation |
| url | http://dx.doi.org/10.1155/2017/4529847 |
| work_keys_str_mv | AT jinsoohwang weakandstrongsolutionsforastronglydampedquasilinearmembraneequation |