- 【Updated on May 12, 2025】 Integration of CiNii Dissertations and CiNii Books into CiNii Research
- Trial version of CiNii Research Knowledge Graph Search feature is available on CiNii Labs
- 【Updated on June 30, 2025】Suspension and deletion of data provided by Nikkei BP
- Regarding the recording of “Research Data” and “Evidence Data”
Existence and Nonexistence of Global Solutions in Time for a Reaction-Diffusion System with Inhomogeneous Terms
-
- Igarashi Takefumi
- Nippon Institute of Technology
-
- Umeda Noriaki
- University of Tokyo
Bibliographic Information
- Other Title
-
- Existence and nonexistence of global solutions in time for a reaction–diffusion system with inhomogeneous term
Search this article
Description
We consider the initial value problem for the reaction-diffusion system with inhomogeneous terms. In this paper we show the existence and nonexistence of global solution in time. Especially, for the nonexistence we extend the conditions of the nonlinear terms and the initial data to the weaker conditions. We prove that for the nonlinear term and the initial data whose support is included in some unbounded domain (for instance, the corn), there do not exist the global solutions in time.
Journal
-
- Funkcialaj Ekvacioj
-
Funkcialaj Ekvacioj 51 (1), 17-37, 2008
Division of Functional Equations, The Mathematical Society of Japan
- Tweet
Details 詳細情報について
-
- CRID
- 1390282680088833792
-
- NII Article ID
- 130000140698
-
- ISSN
- 05328721
-
- Text Lang
- en
-
- Data Source
-
- JaLC
- Crossref
- CiNii Articles
- OpenAIRE
-
- Abstract License Flag
- Disallowed