Global Existence, Uniqueness, and Continuous Dependence for a Reaction-Diffusion Equation with Memory
| dc.contributor.author | Hetzer, Georg ( ) | |
| dc.date.accessioned | 2021-05-17T20:15:59Z | |
| dc.date.available | 2021-05-17T20:15:59Z | |
| dc.date.issued | 1996-07-23 | |
| dc.identifier.citation | Hetzer, G. (1996). Global Existence, Uniqueness, and Continuous Dependence for a Reaction-Diffusion Equation with Memory. Electronic Journal of Differential Equations, 1996(05), pp. 1-16. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/13571 | |
| dc.description.abstract | Global existence, uniqueness and continuous dependence on initial data are established for a quasilinear functional reaction-diffusion equation which arises from a two-dimensional energy balance climate model. Our approach relies heavily on the so-called stability estimates for linear evolution equations of parabolic type (cf. [6]). | en_US |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Reaction-diffusion equations | en_US |
| dc.subject | Memory | en_US |
| dc.subject | Energy balance climate models | en_US |
| dc.subject | Quasilinear parabolic functional evolution equations | en_US |
| dc.title | Global Existence, Uniqueness, and Continuous Dependence for a Reaction-Diffusion Equation with Memory | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
