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On the Existence of Feller Semigroups with Discontinuous Coefficients
On the Existence of Feller Semigroups with Discontinuous Coefficientsopenaire
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On the Resolution of the Heat Equation with Discontinuous Coefficients
Semigroup Forum, 2000Let \(\Omega\) be an open subset of class \(C^2\) in \(\mathbb{R}^n,\) \(T>0,\) \(f\in L^p(Q)\) and \(p \in (1,\infty).\) The aim of the authors is to study existence and uniqueness with optimal regularity of solutions of the heat equation: \[ {{\partial u}\over {\partial t}}(t,x)= a(t,x) \Delta u(t,x)+ f(t,x) \] where \((t,x) \in Q =]0, T[ \times ...
Labbas, Rabah, Moussaoui, Mohand
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The Quasilinear Parabolic Venttsel’ Problem with Discontinuous Leading Coefficients
Functional Analysis and Its Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Darya Apushkinskaya +3 more
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Estimation of discontinuous elliptic coefficients
Applied Mathematics and Computation, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
White, Luther W. +2 more
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On hyperbolic method for diffusion with discontinuous coefficients
Journal of Computational Physics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON BISINGULAR INTEGRAL OPERATORS WITH DISCONTINUOUS COEFFICIENTS
Mathematics of the USSR-Sbornik, 1976Necessary and sufficient conditions are obtained for bisingular integral operators on piecewise smooth Ljapunov curves with discontinuous coefficients in the -spaces with a weight to be Noetherian. The Banach algebra generated by these operators is studied; a regularizer is constructed in the case of continuous coefficients.Bibliography: 40 titles.
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On reconstruction of Kolmogorov operators with discontinuous coefficients
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâWe obtain broad sufficient conditions for reconstructing the coefficients of a Kolmogorov operator by means of a solution to the Cauchy problem for the corresponding Fokker–Planck–Kolmogorov equation.
Bogachev, V. I., Shaposhnikov, S. V.
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On the Fourier coefficients of a discontinuous function
Proceedings of the Edinburgh Mathematical Society, 1941We suppose throughout that f(t) is periodic with period 2π, and Lebesgue-integrable in (− π, π).We writeand suppose that the Fourier series of φ(t) and ψ(t) are respectively cos nt and sin nt. Then the Fourier series and allied series of f(t) at the point t = x are respectively and , where A0 = ½a0, An = ancos nx + bnsin nx, Bn = bncos nx − ansin nx
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Approximation by Γ-convergence of a total variation with discontinuous coefficients
Asymptotic Analysis, 1995We determine the Γ-limit as ε→0 of the sequence ∫ Ω [εϕ 2 (x,∇u)+ε −1 u 2 (1−u 2 )]dx of functionals defined on H
Amar, M, BELLETTINI, GIOVANNI
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Mortar Finite Element Methods for Discontinuous Coefficients
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1999AbstractIn this paper, we consider a mortar finite element method for second order elliptic boundary value problems with discontinuous coefficients. At the interface where the coefficient is discontinuous, different triangulations and/or discretizations are coupled by means of Lagrange multipliers.
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