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The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations by J. C. Meyer, D. J. Needham (Paperback, 2015)

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Of particular importance is the analysis of semi-linear parabolic PDEs. The text presents new existence, uniqueness and continuous dependence results, leading to global and uniformly global well-posedness results (in the sense of Hadamard).