Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions
We study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an upper bound for the “blow-up time,” an upper e...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/324857 |
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| _version_ | 1850160244328497152 |
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| author | Juntang Ding |
| author_facet | Juntang Ding |
| author_sort | Juntang Ding |
| collection | DOAJ |
| description | We study the blow-up and global solutions for a class of quasilinear parabolic problems
with Robin boundary conditions. By constructing auxiliary functions and using maximum principles,
the sufficient conditions for the existence of blow-up solution, an upper bound for the “blow-up time,”
an upper estimate of the “blow-up rate,” the sufficient conditions for the existence of global solution,
and an upper estimate of the global solution are specified. |
| format | Article |
| id | doaj-art-b4711fae693b49b0baa9b3e5ed6aa180 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b4711fae693b49b0baa9b3e5ed6aa1802025-08-20T02:23:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/324857324857Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary ConditionsJuntang Ding0School of Mathematical Sciences, Shanxi University, Taiyuan 030006, ChinaWe study the blow-up and global solutions for a class of quasilinear parabolic problems with Robin boundary conditions. By constructing auxiliary functions and using maximum principles, the sufficient conditions for the existence of blow-up solution, an upper bound for the “blow-up time,” an upper estimate of the “blow-up rate,” the sufficient conditions for the existence of global solution, and an upper estimate of the global solution are specified.http://dx.doi.org/10.1155/2014/324857 |
| spellingShingle | Juntang Ding Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions Abstract and Applied Analysis |
| title | Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions |
| title_full | Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions |
| title_fullStr | Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions |
| title_full_unstemmed | Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions |
| title_short | Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions |
| title_sort | blow up solutions and global existence for quasilinear parabolic problems with robin boundary conditions |
| url | http://dx.doi.org/10.1155/2014/324857 |
| work_keys_str_mv | AT juntangding blowupsolutionsandglobalexistenceforquasilinearparabolicproblemswithrobinboundaryconditions |