| 000 | 02528nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781316151037 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160214.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 140714s2015||||enk o ||1 0|eng|d | ||
| 020 | _a9781316151037 (ebook) | ||
| 020 | _z9781107477391 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA377 _b.M494 2015 |
| 082 | 0 | 0 |
_a515/.3534 _223 |
| 100 | 1 |
_aMeyer, J. C. _q(John Christopher), _eauthor. |
|
| 245 | 1 | 4 |
_aThe Cauchy problem for non-Lipschitz semi-linear parabolic partial differential equations / _cJ.C. Meyer, University of Birmingham, D.J. Needham, University of Birmingham. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2015. |
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| 300 |
_a1 online resource (vii, 167 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aLondon Mathematical Society lecture note series ; _v419 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aReaction-diffusion theory is a topic which has developed rapidly over the last thirty years, particularly with regards to applications in chemistry and life sciences. Of particular importance is the analysis of semi-linear parabolic PDEs. This monograph provides a general approach to the study of semi-linear parabolic equations when the nonlinearity, while failing to be Lipschitz continuous, is Hölder and/or upper Lipschitz continuous, a scenario that is not well studied, despite occurring often in models. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard). Extensions of classical maximum/minimum principles, comparison theorems and derivative (Schauder-type) estimates are developed and employed. Detailed specific applications are presented in the later stages of the monograph. Requiring only a solid background in real analysis, this book is suitable for researchers in all areas of study involving semi-linear parabolic PDEs. | ||
| 650 | 0 | _aCauchy problem. | |
| 650 | 0 | _aDifferential equations, Partial. | |
| 650 | 0 | _aDifferential equations, Parabolic. | |
| 700 | 1 |
_aNeedham, D. J. _q(David J.), _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9781107477391 |
| 830 | 0 |
_aLondon Mathematical Society lecture note series ; _v419. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781316151037 |
| 999 |
_c516121 _d516119 |
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