Results 31 to 40 of about 236,568 (372)
Probabilistic Representations of Solutions of the Forward Equations [PDF]
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.
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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
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Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]
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
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On the initial value problem for a partial differential equation with operator coefficients
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
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Diffusion Coefficients Estimation for Elliptic Partial Differential Equations [PDF]
25 ...
Bonito, Andrea+4 more
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On the zeros of solutions of elliptic partial differential equations
Paul Albert Haeder
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Analysis of the diffuse domain approach for a bulk-surface coupled PDE system [PDF]
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
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Dual variational principles for an elliptic partial differential equation
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
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
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Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition [PDF]
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