Results 31 to 40 of about 236,568 (372)
Probabilistic Representations of Solutions of the Forward Equations [PDF]
, 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.
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Al-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
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Path Integral Solution of Linear Second Order Partial Differential Equations I. The General Construction [PDF]
, 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
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On the initial value problem for a partial differential equation with operator coefficients
International 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
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Diffusion Coefficients Estimation for Elliptic Partial Differential Equations [PDF]
SIAM Journal on Mathematical Analysis, 2017 25 ...
Bonito, Andrea +4 more
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On the zeros of solutions of elliptic partial differential equations
, 2018 Paul Albert Haeder
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Analysis of the diffuse domain approach for a bulk-surface coupled PDE system [PDF]
, 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
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Dual variational principles for an elliptic partial differential equation
, 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
Abstract 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
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Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition [PDF]
, 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
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