Results 1 to 10 of about 2,925,666 (285)
Modern Stochastics: Theory and Applications, 2019 We introduce a stochastic partial differential equation (SPDE) with elliptic operator in divergence form, with measurable and bounded coefficients and driven by space-time white noise.
Mounir Zili, Eya Zougar
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On the Fundamental Solutions to Stokes Equations
Journal of Differential Equations, 1999 The author studies the behaviour of solutions to the stationary Stokes equations which have an isolated singularity. By using the power series expansions of harmonic and biharmonic functions one can describe the precise structure of solutions near singular points.
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Application of the numerically obtained fundamental solutions in the field point-source method
Advanced Engineering Research, 2016 The work objective is to obtain an integral equation by which, using the known fundamental solution to the other equation, it is possible to find a fundamental solution to the linear elliptic equation. The concept of a numerical fundamental solution (NFS)
Sergey Yu. Knyazev +1 more
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A simple construction of a fundamental solution for the extended Weinstein equation
CuboIn this article, we study the extended Weinstein equation \[ Lu=\Delta u+\frac{k}{x_n}\frac{\partial u}{\partial x_n}+\frac{\ell}{x_n^2}u, \] where \(u\) is a sufficiently smooth function defined in \(\mathbb{R}^n\) with \(x_n>0\) and \(n\ge 3\).
Sirkka-Liisa Eriksson, Heikki Orelma
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On an initial-boundary value problem for a parabolic pseudodifferential equation
Математичні СтудіїThe article is aimed at investigation of a third initial-boundary value problem for a parabolic pseudo-differential equation that is related to an isotropic $\alpha$-stable stochastic process in multidimensional Euclidean space $\mathbb{R}^d$.
S. V. Didyk, M. M. Osypchuk
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The fundamental solution for a consistent complex model of the shallow shell equations
Electronic Journal of Differential Equations, 1999 The calculation of the Fourier transforms of the fundamental solution in shallow shell theory ostensibly was accomplished by J. L. Sanders [J. Appl. Mech. 37 (1970), 361-366].
Matthew P. Coleman
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TASK Quarterly, 2005 The paper presents two methods of solving the Poisson equation. One is based on the multiple reciprocity method. An analytical form of the basic solution obtained by means of inverse operation technique enabled assessing the method’s error. The other is
ANDRZEJ FRĄCKOWIAK, MICHAŁ CIAŁKOWSKI
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe objective of this paper is to investigate the fundamental solution and Green’s function in a semi-infinite orthotropic photothermoelastic diffusion medium that is based on the Moore-Gibson-Thompson heat equation (MGTPWD).
Sharma Saurav
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ReligionsThis article explores the compatibility of liberal citizenship with Twelver Shia jurisprudence, a topic previously analyzed from the perspective of Sunni schools, most notably in the extensive research of Andrew F. March.
Javad Fakhkhar Toosi
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Averaging for Fundamental Solutions of Parabolic Equations
Journal of Differential Equations, 1997 Herein, an averaging theory for the solutions to Cauchy initial value problems of arbitrary order,ε-dependent parabolic partial differential equations is developed. Indeed, by directly developing bounds between the derivatives of the fundamental solution to such an equation and derivatives of the fundamental solution of an “averaged” parabolic equation,
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