Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source
A semilinear parabolic equation with the Dirichlet boundary condition is examined. The reaction source is a mixed nonlinear function. This paper investigates the existence and uniqueness of a solution. A sufficient condition for the solution being blow-up in finite time is found.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-09-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/17/3156 |
| _version_ | 1797494356806991872 |
|---|---|
| author | Wai Yuen Chan |
| author_facet | Wai Yuen Chan |
| author_sort | Wai Yuen Chan |
| collection | DOAJ |
| description | A semilinear parabolic equation with the Dirichlet boundary condition is examined. The reaction source is a mixed nonlinear function. This paper investigates the existence and uniqueness of a solution. A sufficient condition for the solution being blow-up in finite time is found. |
| first_indexed | 2024-03-10T01:33:06Z |
| format | Article |
| id | doaj.art-eda26821942b4c51b53b2f1acfc97680 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:33:06Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-eda26821942b4c51b53b2f1acfc976802023-11-23T13:39:26ZengMDPI AGMathematics2227-73902022-09-011017315610.3390/math10173156Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed SourceWai Yuen Chan0Department of Mathematics, Texas A&M University, Texarkana, TX 75503, USAA semilinear parabolic equation with the Dirichlet boundary condition is examined. The reaction source is a mixed nonlinear function. This paper investigates the existence and uniqueness of a solution. A sufficient condition for the solution being blow-up in finite time is found.https://www.mdpi.com/2227-7390/10/17/3156blow-upDirac delta functionreaction functions |
| spellingShingle | Wai Yuen Chan Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source Mathematics blow-up Dirac delta function reaction functions |
| title | Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source |
| title_full | Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source |
| title_fullStr | Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source |
| title_full_unstemmed | Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source |
| title_short | Blow-Up of the Solution for a Semilinear Parabolic Problem with a Mixed Source |
| title_sort | blow up of the solution for a semilinear parabolic problem with a mixed source |
| topic | blow-up Dirac delta function reaction functions |
| url | https://www.mdpi.com/2227-7390/10/17/3156 |
| work_keys_str_mv | AT waiyuenchan blowupofthesolutionforasemilinearparabolicproblemwithamixedsource |