Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data
Let Ω be a smooth bounded domain in ℝN,(N≥3). We consider the asymptotic behavior of solutions to the following problem ut-div(a(x)∇u)+λf(u)=μ in Ω×ℝ+,u=0 on ∂Ω×ℝ+, u(x,0)=u0(x) in Ω, where u0∈L1(Ω), μ is a finite Radon measure independent of time. We provide the existence and uniqueness resu...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/312536 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849468132159127552 |
|---|---|
| author | Weisheng Niu Hongtao Li |
| author_facet | Weisheng Niu Hongtao Li |
| author_sort | Weisheng Niu |
| collection | DOAJ |
| description | Let Ω be a smooth bounded domain in ℝN,(N≥3). We consider the asymptotic behavior of solutions to the following problem ut-div(a(x)∇u)+λf(u)=μ in Ω×ℝ+,u=0 on ∂Ω×ℝ+, u(x,0)=u0(x) in Ω, where u0∈L1(Ω), μ is a finite Radon measure independent of time. We provide the existence and uniqueness results on the approximated solutions. Then we establish some regularity results on the solutions and consider the long-time behavior. |
| format | Article |
| id | doaj-art-fb1beda79d764979b5b23edbca9eef89 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fb1beda79d764979b5b23edbca9eef892025-08-20T03:25:56ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/312536312536Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular DataWeisheng Niu0Hongtao Li1School of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSchool of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, ChinaLet Ω be a smooth bounded domain in ℝN,(N≥3). We consider the asymptotic behavior of solutions to the following problem ut-div(a(x)∇u)+λf(u)=μ in Ω×ℝ+,u=0 on ∂Ω×ℝ+, u(x,0)=u0(x) in Ω, where u0∈L1(Ω), μ is a finite Radon measure independent of time. We provide the existence and uniqueness results on the approximated solutions. Then we establish some regularity results on the solutions and consider the long-time behavior.http://dx.doi.org/10.1155/2012/312536 |
| spellingShingle | Weisheng Niu Hongtao Li Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data Abstract and Applied Analysis |
| title | Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data |
| title_full | Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data |
| title_fullStr | Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data |
| title_full_unstemmed | Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data |
| title_short | Asymptotic Behavior of Approximated Solutions to Parabolic Equations with Irregular Data |
| title_sort | asymptotic behavior of approximated solutions to parabolic equations with irregular data |
| url | http://dx.doi.org/10.1155/2012/312536 |
| work_keys_str_mv | AT weishengniu asymptoticbehaviorofapproximatedsolutionstoparabolicequationswithirregulardata AT hongtaoli asymptoticbehaviorofapproximatedsolutionstoparabolicequationswithirregulardata |