Results 1 to 10 of about 172,798 (208)
On Hill's equation with a discontinuous coefficient [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We research the asymptotic formula for the lengths of the instability intervals of the Hill's equation with coefficients q(x) and r(x), where q(x) is piecewise continuous and r(x) has a piecewise continuous second derivative in open intervals (0,b) and ...
Ilkay Yaslan Karaca
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Proyecciones (Antofagasta), 2022 This work presents a new approach for the mathematical analysis and numerical simulation of a class of periodic parabolic equations with dis- continuous coefficients. Our technique is based on the minimization of a least-squares cost function.
Nour Eddine Alaa +2 more
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Stability of discontinuous diffusion coefficients and initial conditions in an inverse problem for the heat equation [PDF]
, 2007 International audienceWe consider the heat equation with a discontinuous diffusion coefficient and give uniqueness and stability results for both the diffusion coefficient and the initial condition from a measurement of the solution on an arbitrary part ...
Benabdallah, Assia +2 more
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Matrix Fourier transform with discontinuous coefficients [PDF]
, 2013 The explicit construction of direct and inverse Fourier's vector transform with discontinuous coefficients is presented. The technique of applying Fourier's vector transform with discontinuous coefficients for solving problems of mathematical physics.Multidimensional integral transformations with non-separated variables for problems with discontinuous ...
Oleg Yaremko, E. G. Zhuravleva
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Inverse Problems for Parabolic Equation with Discontinuous Coefficients
Nonautonomous Dynamical Systems, 2017 We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems ...
Dinakar V. +2 more
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, 2007 We consider the heat equation ∂ t y − div(c∇y) = H with a discontinuous coefficient in three connected situations. We give uniqueness and stability results for the diffusion coefficient c(·) in the main case from measurements of the solution on an ...
Poisson, Olivier
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Electronic Journal of Differential Equations, 2011 It is well-known that distributional solutions to the Cauchy problem for $u_t + (b(t,x)u)_{x} = 0$ with $b(t,x) = 2H(x-t)$, where H is the Heaviside function, are non-unique.
Hideo Deguchi
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The Euler scheme for stochastic differential equations with discontinuous drift coefficient: a numerical study of the convergence rate [PDF]
Advances in Difference Equations, 2019 The Euler scheme is one of the standard schemes to obtain numerical approximations of solutions of stochastic differential equations (SDEs). Its convergence properties are well known in the case of globally Lipschitz continuous coefficients.
S. Göttlich, K. Lux, A. Neuenkirch
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Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
Journal of Numerical Analysis and Approximation Theory, 2019 An elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered.
Calin-Ioan Gheorghiu, Bertin Zinsou
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Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term [PDF]
, 1992 We calculate the one-loop perturbative correction to the coefficient of the \cs term in non-abelian gauge theory in the presence of Higgs fields, with a variety of symmetry-breaking structures.
Egestad, Börje +5 more
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