Results 11 to 20 of about 16,499 (156)

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., Pagliarani S., PASCUCCI, ANDREA   +2 more
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PARABOLIC EQUATIONS [PDF]

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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The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions

Boundary Value Problems, 2019
In the present paper a nonlocal inverse boundary-value problem for a second-order parabolic equation is considered. This investigation introduces the identification of the lowest unknown coefficient and time-depend right-hand side in a second-order ...
Elvin I. Azizbayov
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The Bitsadze–Samarskii problem for some characteristically loaded hyperbolic-parabolic equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
The paper considers a characteristically loaded equation of a mixed hyperbolic-parabolic type with degeneration of order in the hyperbolicity part of the domain.
Kazbek Uzeirovich Khubiev
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On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
The paper is devoted to approximate methods for solution of direct and inverse problems for parabolic equations. An approximate method for the solution of the initial problem for multidimensional nonlinear parabolic equation is proposed.
Boykov, Il'ya V., Ryazantsev, Vladimir A.   +1 more
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On Degenerate Parabolic Equations [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
The paper deals with the existence of solutions of some generalized Stefan‐type equation in the framework of Orlicz spaces.
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Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition

Nonlinear Analysis, 2002
Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of ...
Mifodijus Sapagovas
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Regularity of a Parabolic Differential Equation on Graphs

Mathematics, 2023
In this paper, motivated by a biodegradable stent problem, we consider a parabolic differential equation on graphs. This kind of equation describes the stent material degradation in time.
Bojan Žugec
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Sobre la convexidad de la función de presión en el problema de la filtración no lineal

Revista de Matemática: Teoría y Aplicaciones, 2009
We prove the convexity of the pressure function v for the isotropic ideal gaz flow, based on the theorem about the zeros of the solution of the parabolic equation (1) Keywords: fluid mechanics, turbulence, parabolic ...
Vladimir N Grebenev
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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation

Abstract and Applied Analysis, 2015
The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
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