Results 71 to 80 of about 2,910,066 (190)

On space-time quasiconcave solutions of the heat equation

, 2019
In this paper we first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation.
Chen, Chuanqiang, Ma, Xinan, Salani, Paolo   +2 more
core  

On an initial-boundary value problem for a parabolic pseudodifferential equation

Математичні Студії
The 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
doaj   +1 more source

Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation

, 2012
In even-dimensional Euclidean space for integer powers of the Laplacian greater than or equal to the dimension divided by two, a fundamental solution for the polyharmonic equation has logarithmic behavior.
Cohl, Howard S.
core  

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
doaj  

EXPLICIT ESTIMATION OF AN INTEGRAL IN A DOMAIN BY THE MULTIPLE RECIPROCITY METHOD WITH THE USE OF INVERSE OPERATIONS

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
doaj  

An examination of the fundamental solution and Green’s function in orthotropic photothermoelastic with diffusion under the MGT model

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The 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
doaj   +1 more source

Liberal Citizenship Through the Prism of Shia Jurisprudence: Embracing Fundamental over Partial Solutions

Religions
This 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
doaj   +1 more source

The method of the fundamental solutions and its modifications for electromagnetic field problems

Computer Assisted Methods in Engineering and Science, 2017
The paper presents the method of fundamental solutions (MFS) for solving electromagnetic problems. We compare the MFS with the method of boundary integral equations in solution of potential problems.
C. S. Chen, S. Y. Reutskiy, V. Y. Rozov
doaj  

Special solutions of matrix Gellerstedt equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
Fundamental solutions for the Gellerstedt equation and its generalization were obtained in the distribution space using the method applied by I. M. Gelfand and J. Barros-Neto to the studying the Tricomi equation. The degenerating system of the mixed-type
Elena A Kozlova
doaj  

Fundamental solution of the time-space bi-fractional diffusion equation with a kinetic source term for anomalous transport. [PDF]

Sci Rep
Allagui A, Paradezhenko G, Pervishko A, Yudin D, Benaoum H.   +4 more
europepmc   +1 more source