The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data

John Meyer, David Needham

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

218 Downloads (Pure)

2020
On two-signed solutions to a second order semi-linear parabolic partial differential equation with non-Lipschitz nonlinearity
Clark, V. & Meyer, J., 5 Jul 2020, In: Journal of Differential Equations. 269, 2, p. 1401-1431 31 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
113 Downloads (Pure)
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
Research output: Contribution to journal › Article › peer-review

Open Access
File
1 Citation (Scopus)

153 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

Open Access
File
1 Citation (Scopus)

196 Downloads (Pure)
2015
The cauchy problem for non-lipschitz semi-linear parabolic partial differential equations
Meyer, J. & Needham, D., Nov 2015, Cambridge, UK: Cambridge University Press. 173 p. (London Mathematical Society Lecture Note Series; no. 419)
Research output: Book/Report › Book
2 Citations (Scopus)

Research output