Format:
1 Online-Ressource (vii, 167 pages)
,
digital, PDF file(s).
ISBN:
9781316151037
Series Statement:
London Mathematical Society lecture note series 419
Content:
Reaction-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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9781107477391
Additional Edition:
ISBN 9781107477391
Additional Edition:
ISBN 9781107477391
Additional Edition:
Erscheint auch als Meyer, John Christopher The Cauchy problem for non-Lipschitz semi-linear parabolic partial differential equations Cambridge : Cambridge University Press, 2015 ISBN 9781107477391
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9781107477391
Language:
English
Subjects:
Mathematics
Keywords:
Cauchy-Anfangswertproblem
;
Parabolische Differentialgleichung
DOI:
10.1017/CBO9781316151037
