Results 251 to 260 of about 879,634 (286)

Stochastic partial differential equations

2014
Second order stochastic partial differential equations are discussed from a rough path point of view. In the linear and finite-dimensional noise case we follow a Feynman–Kac approach which makes good use of concentration of measure results, as those obtained in Sect. 11.2.
Peter K. Friz, Martin Hairer
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On Elliptic Partial Differential Equations

2011
Es wird eine umfassende Übersicht über verschiedene neuere Resultate aus der Theorie der linearen elliptischen Differentialgleichungen höherer Ordnung gegeben. Zunächst wird in \( \S 1 \) die Grundlösung für eine partielle Differentialgleichung mit konstanten Koeffizienten durch Anwendung der Fourier-Transformation konstruiert. Anschließend werden eine
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Complex Partial Differential Equations

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aksoy, Ü., Begehr, H., Çelebi, A., Shupeyeva, B.   +3 more
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Quantized Partial Differential Equations

2004
This book contains three chapters and two addenda. Quantized PDE's.I. In this first part we consider quantum (super) manifolds as topological spaces locally identified with open sets of some locally convex topological vector spaces built starting from suitable topological algebras $A$, \textit{quantum (super)algebras}.
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Parabolic partial differential equations

1995
We now describe how to apply the finite element to parabolic partial differential equations. This is done by approximating the parabolic partial differential equation by either a sequence of ordinary differential equations or a sequence of elliptic partial differential equations.
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Repeated Games and Partial Differential Equations

Mathematics of Operations Research, 1996
Let vn(p) denote the value of the n-times repeated zero-sum game with incomplete information on one side and full monitoring and let u(p) be the value of the average game G(p). The error term ϵn(p) = vn(p) − cav(u)(p) is then converging to zero at least as rapidly as 1/√n. In this paper, we analyze the convergence of ψn(p) = √nϵn(p) in the games with
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On arithmetic partial differential equations

J. Integer Seq., 2016
Summary: \textit{J. Kovič} [J. Integer Seq. 15, No. 3, Article 12.3.8, 16 p. (2012; Zbl 1291.11009)], and implicitly \textit{V. Ufnarovski} and \textit{B. Åhlander} [J. Integer Seq. 6, No. 3, Art. 03.3.4, 24 p. (2003; Zbl 1142.11305)], defined a notion of arithmetic partial derivative. We generalize the definition for rational numbers and study several
Pentti Haukkanen, Jorma K. Merikoski, Timo Tossavainen   +2 more
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Partial Differential Equations II

2002
Partial differential equations of the form $$k{\partial \over {\partial t}}u(r,t) = \nabla ^2 u(r,t)$$ (diffusion equation) and $${{\partial ^2 } \over {\partial t^2 }}u(r,t) = c^2 \nabla ^2 u(r,t)$$ (wave equation) are amenable to the use of the Laplace transform.1 Indeed, on taking the Laplace transform of the former, we get ...
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Partial Differential Equations

1994
Martha L. Abell, James P. Braselton
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Applications to Partial Differential Equations—Nonlinear Equations

1983
In this section we consider a simple application of the results of Section 6.1 to the initial value problem for the following nonlinear Schrodinger equation in ∝2 $$\left\{ {_{u(x,0) = {u_0}(x)in{\mathbb{R}^2}}^{\frac{1}{i}\frac{{\partial u}}{{\partial t}} - \Delta u + k{{\left| u \right|}^2}u = 0in]0,\infty [x{\mathbb{R}^2}}} \right.$$ (1.1 ...
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