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Existence of a solution of a Fourier nonlocal quasilinear parabolic problem

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Publication:1186524
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DOI10.1155/S1048953392000042zbMath0769.35024MaRDI QIDQ1186524

Ludwik Byszewski

Publication date: 28 June 1992

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46834


zbMATH Keywords

potential theoryintegral equationsSchauder's theoremFourier third nonlocal quasilinear parabolic problem


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Fixed-point theorems (47H10) Volterra integral equations (45D05) Connections of harmonic functions with differential equations in higher dimensions (31B35)


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Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition. ⋮ Three-level techniques for one-dimensional parabolic equation with nonlinear initial condition



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