Results 31 to 40 of about 2,910,066 (190)
Parabolic by Shilov systems with variable coefficients
Karpatsʹkì Matematičnì Publìkacìï, 2018 Because of the parabolic instability of the Shilov systems to change their coefficients, the definition parabolicity of Shilov for systems with time-dependent $t$ coefficients, unlike the definition parabolicity of Petrovsky, is formulated by imposing ...
V.A. Litovchenko
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Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process
Axioms, 2016 In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
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Advanced Nonlinear Studies, 2023 We establish the Caccioppoli inequality, a reverse Hölder inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order 2m2m with certain lower order terms.
Barton Ariel E., Duffy Michael J.
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Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes [PDF]
, 2011 The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, $u_t=J*u-u:=Lu$, in an exterior domain, $\Omega$, which excludes one or several holes, and with zero Dirichlet data on $\mathbb{R}^N\setminus\Omega$.
Cortazar, C. +3 more
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Российский технологический журнал, 2017 The Cauchy problem for a linear second order parabolic equation with 1-periodic measurable coefficients is considered Rd, d ≥ 2. The problem models diffusion in a nonhomogeneous periodic medium. The appropriate diffusion operator A is self-adjoint in L2 (
S. E. Pastukhova, O. A. Evseeva
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International Journal of Applied Mechanics and Engineering, 2020 The present paper deals with the study of a fundamental solution in transversely isotropic thermoelastic media with mass diffusion and voids. For this purpose, a two-dimensional general solution in transversely isotropic thermoelastic media with mass ...
Vijay Chawla, Deepmala Kamboj
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Gaussian lower bound for the Neumann Green function of ageneral parabolic operator
, 2015 Based on the fact that the Neumann Green function can be constructed as a perturbation of the fundamental solution by a single-layer potential, we establish gaussian two-sided bounds for the Neumann Green function for a general parabolic operator.
Choulli, Mourad, Kayser, Laurent
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External Ellipsoidal Harmonics for the Dunkl-Laplacian
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The paper introduces external ellipsoidal and external sphero-conal $h$-harmonics for the Dunkl-Laplacian. These external $h$-harmonics admit integral representations, and they are connected by a formula of Niven's type.
Hans Volkmer
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Green’s Function of the Linearized Logarithmic Keller–Segel–Fisher/KPP System
Mathematical and Computational Applications, 2018 We consider a Keller–Segel type chemotaxis model with logarithmic sensitivity and logistic growth. The logarithmic singularity in the system is removed via the inverse Hopf–Cole transformation.
Jean Rugamba, Yanni Zeng
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Cauchy problem for inhomogeneous parabolic Shilov equations
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we consider the Cauchy problem for parabolic Shilov equations with continuous bounded coefficients. In these equations, the inhomogeneities are continuous exponentially decreasing functions, which have a certain degree of smoothness by the
I.M. Dovzhytska
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