D. Needham

activity

20162023

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

3 citations · 7 across the 7 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AP2016★ 3 cited

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

John Christopher Meyer, David John Needham

In this paper, we establish the existence of spatially inhomogeneous classical self-similar solutions to a non-Lipschitz semi-linear parabolic Cauchy problem with trivial initial d…

math.AP2016★ 2 cited

On a $L^{\infty}$ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity

John Christopher Meyer, David John Needham

In this paper, we consider a $L^{\infty}$ functional derivative estimate for the first spatial derivative of bounded classical solutions $u : R \times [0, T] \to R$ to th…

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

On a L∞ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity

On a $L^{\infty}$ functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity