Results 21 to 30 of about 1,303,815 (271)
On Parabolic Equations for Measures [PDF]
Communications in Partial Differential Equations, 2008 A new existence result is established for weak parabolic equations for probability measures on ℝ d . A priori estimates for solutions of such equations are obtained.
Bogachev, Vladimir I. +2 more
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Analytical Expansions for Parabolic Equations [PDF]
SIAM Journal on Applied Mathematics, 2013 We consider the Cauchy problem associated with a general parabolic partial differential equation in $d$ dimensions. We find a family of closed-form asymptotic approximations for the unique classical solution of this equation as well as rigorous short-time error estimates.
Lorig M. +2 more
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Existence of Positive Solutions and Asymptotic Behavior for Evolutionary q(x)-Laplacian Equations
Discrete Dynamics in Nature and Society, 2020 In this paper, we extend the variational method of M. Agueh to a large class of parabolic equations involving q(x)-Laplacian parabolic equation ∂ρt,x/∂t=divxρt,x∇xG′ρ+Vqx−2∇xG′ρ+V.
Aboubacar Marcos, Ambroise Soglo
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A note on the parabolic identification problem with involution and Dirichlet condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan, A. Sarsenbi
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An Approximation of Ultra‐Parabolic Equations [PDF]
Abstract and Applied Analysis, 2012 The first and second order of accuracy difference schemes for the approximate solution of the initial boundary value problem for ultra‐parabolic equations are presented. Stability of these difference schemes is established. Theoretical results are supported by the result of numerical examples.
Ashyralyev, Allaberen, Yılmaz, Serhat
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Proceedings of the National Academy of Sciences, 1957 Beweis zweier Sätze, die gestatten, auf die Stetigkeit der Lösungen parabolischer (elliptischer) Differentialgleichungen zu schließen, wenn die Lösung für \(t=0\) (auf dem Rande) beschränkt sein soll.
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Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
, 2008 Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
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Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]
, 2013 A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
Linss, Torsten, Kopteva, Natalia
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Numerical Solution of Parabolic Equations by the Box Scheme [PDF]
, 1973 The box scheme proposed by H. B. Keller is a numerical method for solving parabolic partial differential equations. We give a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic ...
Fong, Kirby William
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 more
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