Existence of a solution of a Fourier nonlocal quasilinear parabolic problem.

Byszewski, Ludwik

Displaying similar documents to “Existence of a solution of a Fourier nonlocal quasilinear parabolic problem.”

Impulsive nonlocal nonlinear parabolic differential problems.

Byszewski, Ludwik (1993)

Journal of Applied Mathematics and Stochastic Analysis

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A system of impulsive degenerate nonlinear parabolic functional- differential inequalities.

Byszewski, Ludwik (1995)

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Semigroup formulation of Rothe's method: application to parabolic problems

Marián Slodička (1992)

Commentationes Mathematicae Universitatis Carolinae

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A semilinear parabolic equation in a Banach space is considered. The purpose of this paper is to show the dependence of an error estimate for Rothe's method on the regularity of initial data. The proofs are done using a semigroup theory and Taylor spectral representation.

Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data

Marián Slodička (1991)

Commentationes Mathematicae Universitatis Carolinae

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The purpose of this paper is to derive the error estimates for discretization in time of a semilinear parabolic equation in a Banach space. The estimates are given in the norm of the space $𝕏_{α}$ for $0 < α < 1$ when the initial condition is not regular.