Results 271 to 280 of about 18,549 (299)
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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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An Augmented Method for 4th Order PDEs with Discontinuous Coefficients
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhilin Li 0002, Fangfang Qin
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On MultiScale ADI Methods for Parabolic PDEs with a Discontinuous Coefficient
Multiscale Modeling & Simulation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhilin Li 0002 +2 more
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Rellich and Calderón–Zygmund inequalities for an operator with discontinuous coefficients
Annali di Matematica Pura ed Applicata (1923 -), 2015The authors provide necessary and sufficient conditions for the validity of the Rellich and the Calderón-Zygmund inequalities in \(L^p(\mathbb{R}^N)\) for the operator \[ L=\Delta +(a-1)\sum_{i,j=1}^N \dfrac{x_ix_j}{|x|^2}D_{ij}+c\dfrac{x}{|x|^2}\cdot\nabla - \dfrac{b}{|x|^2} \] with \(a>0\) and \(b,c\in\mathbb{R}.\) The approach is that of the authors'
METAFUNE, Giorgio Gustavo Ermanno +2 more
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Meccanica, 1977
In this paper we deduce the magneto-elastic system of equations in the three-dimensional case. As an application we study the propagation of a weak discontinuity when a strong discontinuity also occurs.
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In this paper we deduce the magneto-elastic system of equations in the three-dimensional case. As an application we study the propagation of a weak discontinuity when a strong discontinuity also occurs.
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A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient
Numerical Mathematics: Theory, Methods and Applications, 2013In this paper, a new discontinuous Galerkin method is developed for the parabolic equation with jump coefficients satisfying the continuous flow condition. Theoretical analysis shows that this method is $L^2$ stable. When the finite element space consists of interpolative polynomials of degrees $k$, the convergent rate of the semi-discrete ...
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Quasilinear equations with discontinuous coefficients.
2005The main aim of this paper is to establish an a priori bound of \(\|u\|_{L^\infty (\Omega)}\) for the weak solutions \(u\in W^{1,q} (\Omega)\), \(q>n\) of the equation \(Lu=0\) almost everywhere in \(\Omega\), where \[ L\equiv\sum^N_{i,j=1}\frac {\partial}{\partial x_i}\left(a_{ij}(x,u)\frac{\partial u}{\partial x_j}\right)+ b(x,u)\tag{1} \] and ...
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Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients
SIAM Journal of Scientific Computing, 2001, Kazufumi Itô
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