The cauchy problem for non-lipschitz semi-linear parabolic partial differential equations

John Meyer, David Needham

Mathematics

Research output: Book/Report › Book

2 Citations (Scopus)

2 Citations
6 Article

6 results

2018
On a L^∞ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity
Meyer, J. & Needham, D., 15 Oct 2018, In: Journal of Differential Equations. 265, 8, p. 3345-3362
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Open Access
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1 Citation (Scopus)

153 Downloads (Pure)
2017
The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data
Meyer, J. & Needham, D., 5 Feb 2017, In: Journal of Differential Equations. 262, 3, p. 1747-1776 31 p.
Research output: Contribution to journal › Article › peer-review

Open Access
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2 Citations (Scopus)

218 Downloads (Pure)
2016
Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations
Meyer, J. C. & Needham, D. J., 1 Aug 2016, In: Proceedings of the Royal Society of Edinburgh: Section A (Mathematics). 146, 4, p. 777-832
Research output: Contribution to journal › Article › peer-review

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1 Citation (Scopus)

196 Downloads (Pure)
2015
A note on the classical weak and strong maximum principles for linear parabolic partial differential inequalities
Needham, D. J. & Meyer, J. C., Aug 2015, In: Zeitschrift für angewandte Mathematik und Physik. 66, 4, p. 2081-2086 6 p.
Research output: Contribution to journal › Article › peer-review
Well-posedness and qualitative behaviour of a semi-linear parabolic Cauchy problem arising from a generic model for fractional-order autocatalysis
Meyer, J. C. & Needham, D. J., 1 Mar 2015, In: Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences. 471, 2175, 20140632.
Research output: Contribution to journal › Article › peer-review

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3 Citations (Scopus)

121 Downloads (Pure)
2014
Extended weak maximum principles for parabolic partial differential inequalities on unbounded domains
Meyer, J. C. & Needham, D. J., 8 Jul 2014, In: Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences. 470, 2167, 20140079.
Research output: Contribution to journal › Article › peer-review

Open Access
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8 Citations (Scopus)

156 Downloads (Pure)