The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations
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Publication:5251750
DOI10.1017/CBO9781316151037zbMath1349.35003MaRDI QIDQ5251750
David John Needham, John Christopher Meyer
Publication date: 21 May 2015
existenceuniquenessCauchy problemcontinuous dependence of solutionsone-dimensional semilinear parabolic equation
Asymptotic behavior of solutions to PDEs (35B40) Maximum principles in context of PDEs (35B50) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)
Related Items (3)
On a \(L^{\infty}\) functional derivative estimate relating to the Cauchy problem for scalar semi-linear parabolic partial differential equations with general continuous nonlinearity ⋮ Nonlocal solutions of parabolic equations with strongly elliptic differential operators ⋮ On two-signed solutions to a second order semi-linear parabolic partial differential equation with non-Lipschitz nonlinearity
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