Results 31 to 40 of about 236,568 (372)

Probabilistic Representations of Solutions of the Forward Equations [PDF]

open access: yes, 2007
In this paper we prove a stochastic representation for solutions of the evolution equation $ \partial_t \psi_t = {1/2}L^*\psi_t $ where $ L^* $ is the formal adjoint of an elliptic second order differential operator with smooth coefficients corresponding
Rajeev, B., Thangavelu, S.
core   +2 more sources

The Continuous Classical Boundary Optimal Control of a Couple Nonlinear Elliptic Partial Differential Equations with State Constraints

open access: yesAl-Mustansiriyah Journal of Science, 2019
This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy   +1 more
doaj   +1 more source

Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]

open access: yes, 2004
A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions.
Abraham   +16 more
core   +2 more sources

On the initial value problem for a partial differential equation with operator coefficients

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
In the present work it is studied the initial value problem for an equation of the form L∂ku∂tk=∑j=1kLj∂k−ju∂tk−j,where L is an elliptic partial differential operator and (Lj:j=1,…,k) is a family of partial differential operators with bounded operator ...
Mahmoud M. El-Borai
doaj   +1 more source

Diffusion Coefficients Estimation for Elliptic Partial Differential Equations [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2017
25 ...
Bonito, Andrea   +4 more
openaire   +5 more sources

Analysis of the diffuse domain approach for a bulk-surface coupled PDE system [PDF]

open access: yes, 2015
We analyse a diffuse interface type approximation, known as the diffuse domain approach, of a linear coupled bulk-surface elliptic \textcolor{blue}{PDE} system.
Abels, Abels   +2 more
core   +1 more source

Dual variational principles for an elliptic partial differential equation

open access: yes, 1976
Dual variational principles for an elliptic partial differential equation of the second order with combined boundary conditions are formulated. A posteriori error estimates are obtained and for some class of problems the convergence of approximate ...
J. Vacek
semanticscholar   +1 more source

Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution

open access: yesAbstract and Applied Analysis, 2012
We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.
Yusuf Pandir   +3 more
doaj   +1 more source

Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition [PDF]

open access: yes, 2018
Pseudo-parabolic equations have been used to model unsaturated fluid flow in porous media. In this paper it is shown how a pseudo-parabolic equation can be upscaled when using a spatio-temporal decomposition employed in the Peszyn'ska-Showalter-Yi paper [
AJ Vromans   +6 more
core   +9 more sources

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