Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
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 Holder 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 resul…
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Produktdetails
- ISBN: 978-1-316-31109-7
- EAN: 9781316311097
- Produktnummer: 19566663
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 2015
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 1'286 KB
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Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
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