Second-order elliptic PDEs with discontinuous boundary data

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq032 ◽

2011 ◽

Vol 32 (1) ◽

pp. 48-74 ◽

Author(s):

P. Houston ◽

T. P. Wihler

Keyword(s):

Boundary Data ◽

Second Order ◽

Elliptic Pdes ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data

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The Error Function in the Study of Singularly Perturbed Convection-Diffusion Problems with Discontinuous Boundary Data

Progress in Industrial Mathematics at ECMI 2008 - Mathematics in Industry ◽

10.1007/978-3-642-12110-4_9 ◽

2010 ◽

pp. 105-110

Author(s):

J. J. López ◽

E. Pérez Sinusía ◽

N. M. Temme

Keyword(s):

Boundary Data ◽

Error Function ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data ◽

Diffusion Problems

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Oblique derivative problems in Lipschitz domains: II. Discontinuous boundary data.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1988.389.1 ◽

1988 ◽

Vol 1988 (389) ◽

pp. 1-21 ◽

Keyword(s):

Boundary Data ◽

Lipschitz Domains ◽

Discontinuous Boundary ◽

Oblique Derivative Problems ◽

Discontinuous Boundary Data

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The Behavior as $\varepsilon \to + 0$ of Solutions to $\varepsilon \nabla ^2 w = {{\partial w} / {\partial y}}$ in $| y | \leqq 1$ for Discontinuous Boundary Data

SIAM Journal on Mathematical Analysis ◽

10.1137/0502057 ◽

1971 ◽

Vol 2 (4) ◽

pp. 567-594 ◽

Author(s):

L. Pamela Cook ◽

G. S. S. Ludford

Keyword(s):

Boundary Data ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data

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On existence of a classical solution and nonexistence of a weak solution to the Dirichlet problem for the Laplacian with discontinuous boundary data

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-09-01130-1 ◽

2009 ◽

Vol 67 (2) ◽

pp. 379-399

Author(s):

P. A. Krutitskii

Keyword(s):

Weak Solution ◽

Dirichlet Problem ◽

Classical Solution ◽

Boundary Data ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data

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On the two-dimensional initial boundary value problem for the Navier-Stokes equations with discontinuous boundary data

Journal of Mathematical Sciences ◽

10.1007/bf02362947 ◽

1995 ◽

Vol 75 (6) ◽

pp. 2079-2092

Author(s):

V. A. Solonnikov

Keyword(s):

Boundary Data ◽

Stokes Equations ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Discontinuous Boundary ◽

Initial Boundary Value ◽

Discontinuous Boundary Data

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Absolutely minimizing Lipschitz extension with discontinuous boundary data

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(98)89164-7 ◽

1998 ◽

Vol 327 (6) ◽

pp. 563-568 ◽

Author(s):

Frédéric Cao

Keyword(s):

Boundary Data ◽

Lipschitz Extension ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data

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A meshless numerical method for solving slow mixed convections in containers with discontinuous boundary data

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2262 ◽

2011 ◽

Vol 66 (3) ◽

pp. 377-402 ◽

Author(s):

Chia-Cheng Tsai ◽

Tai-Wen Hsu

Keyword(s):

Numerical Method ◽

Boundary Data ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data

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Behaviour of solutions of elliptic differential inequalities near a point of discontinuous boundary data

Communications in Partial Differential Equations ◽

10.1080/03605308308820299 ◽

1983 ◽

Vol 8 (11) ◽

pp. 1175-1197 ◽

Author(s):

H. S. Bear ◽

G. N. Hile

Keyword(s):

Boundary Data ◽

Differential Inequalities ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data

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The Dirichlet problem for the Laplacian with discontinuous boundary data in a 2D multiply connected exterior domain

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.04.035 ◽

2008 ◽

Vol 56 (12) ◽

pp. 3221-3235 ◽

Author(s):

P.A. Krutitskii

Keyword(s):

Dirichlet Problem ◽

Boundary Data ◽

Exterior Domain ◽

Multiply Connected ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data

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Backward Stochastic Differential Equations and Viscosity Solutions of Systems of Semilinear Parabolic and Elliptic PDEs of Second Order

Stochastic Analysis and Related Topics VI ◽

10.1007/978-1-4612-2022-0_2 ◽

1998 ◽

pp. 79-127 ◽

Author(s):

Étienne Pardoux

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Viscosity Solutions ◽

Backward Stochastic Differential Equations ◽

Second Order ◽

Elliptic Pdes ◽

Semilinear Parabolic

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