The Exterior Dirichlet Problem for Second Order Elliptic Partial Differential Equations [PDF]
Norman G. Meyers, James Serrin
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Existence of solutions for a degenerate seawater intrusion problem
We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi +1 more
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A numerical method based on boundary integral equation and radial basis function approximation is presented for solving boundary value problems governed by a second‐order elliptic partial differential equation with variable coefficients.
Whye‐Teong Ang
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Phragmén-Lindelöf theorems for second order quasi-linear elliptic partial differential equations [PDF]
John O. Herzog
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The Liouville theorem for a quasi-linear elliptic partial differential equation [PDF]
Sherman Elwood Bohn, Lloyd Jackson
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Unique continuation theorem of elliptic systems of partial differential equations [PDF]
Kazunari Hayashida
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On the uniqueness of the Cauchy problem for semi-elliptic partial differential equations, II [PDF]
Akira Tsutsumi
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Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines [PDF]
A stochastic partial differential equation, or SPDE, describes the dynamics of a stochastic process defined on a space-time continuum. This paper provides a new method for solving SPDEs based on the method of lines (MOL).
McDonald, Stuart
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Some properties of solutions of second-order elliptic partial differential equations with unbounded Dirichlet integral [PDF]
Jan Kadlec
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Completeness theorems: Fichera's fundamental results and some new contributions
After recalling Fichera’s fundamental results in the study of the problem of the completeness of particular solutions of a partial differential equation, we give some new completeness theorem.
Alberto Cialdea
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