Results 21 to 30 of about 421,084 (235)

Traces and Quasi-traces on the Boutet de Monvel Algebra [PDF]

, 2004
We construct an analogue of Kontsevich and Vishik's canonical trace for a class of pseudodifferential boundary value problems in Boutet de Monvel's calculus on compact manifolds with boundary.
Grubb, Gerd, Schrohe, Elmar
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Wave diffraction by wedges having arbitrary aperture angle [PDF]

, 2015
The problem of plane wave diffraction by a wedge sector having arbitrary aperture angle has a very long and interesting research background. In fact, we may recognize significant research on this topic for more than one century.
Adams, Budaev, Carslaw, Carslaw, Carslaw, Castro, Castro, Castro, Castro, Castro, Castro, Castro, Choque Rivero, Colton, Costabel, Costabel, Courant, D. Kapanadze, Daniele, Dauge, de la Paz Méndez, Duduchava, Ehrhardt, Ehrhardt, Gradštein, Grisvard, Hsiao, Jerison, Jerison, Jerison, Kapanadze, Kohr, Komech, Komech, Komech, Komech, Kondrat'ev, Kress, Krutitskii, L.P. Castro, Macdonald, Macdonald, McLean, Meister, Meister, Meister, Meister, Meister, Meister, Meister, Merzon, Merzon, Mitrea, Mitrea, Mitrea, Mitrea, Nazarov, Nolasco, Osipov, Penzel, Poincaré, Rawlins, Rempel, Schulze, Schulze, Shneiberg, Shneiberg, Sommerfeld, Speck, Taylor, Triebel, Verchota, Zhevandrov, Èskin   +73 more
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The Dirichlet-to-Neumann map for the elliptic sine Gordon [PDF]

, 2012
We analyse the Dirichlet problem for the elliptic sine Gordon equation in the upper half plane. We express the solution $q(x,y)$ in terms of a Riemann-Hilbert problem whose jump matrix is uniquely defined by a certain function $b(\la)$, $\la\in\R ...
Fokas, A. S., Pelloni, Beatrice
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The tri-harmonic Neumann problem

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this article investigated the tri-harmonic Neumann function for the unit dics. For harmonics functions the Neumann’s boundary problem is well studied and solved under certain conditions through Neumann’s function, sometimes it is also called Green’s ...
S. Burgumbayeva
doaj   +1 more source

A Green's function for diffraction by a rational wedge [PDF]

, 1989
In this paper we derive an expression for the point source Green's function for the reduced wave equation, valid in an angular sector whose angle is equal to a rational multiple of 77.
Rawlins, AD
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The Unified Method: I Non-Linearizable Problems on the Half-Line

, 2011
Boundary value problems for integrable nonlinear evolution PDEs formulated on the half-line can be analyzed by the unified method introduced by one of the authors and used extensively in the literature.
A S Fokas, Bikbaev R F, Bona J L, Boutet de Monvel A, Coddington E A, Deconinck B Trogdon T Vasan V, Doschoris M, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S Pelloni B, Habibullin I T, Its A R, J Lenells, Lenells J, Lenells J, Lenells J, Lenells J, Pelloni B, Smith D A, Smith D A, Tarasov V O, Vetra S   +26 more
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On the Combination of the Laplace Transform and Integral Equation Method to Solve the 3D Parabolic Initial Boundary Value Problem

Axioms
We consider a two-step numerical approach for solving parabolic initial boundary value problems in 3D simply connected smooth regions. The method uses the Laplace transform in time, reducing the problem to a set of independent stationary boundary value ...
Roman Chapko, Svyatoslav Lavryk
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Interface crack between dissimilar one-dimensional hexagonal quasicrystals with piezoelectric effect [PDF]

, 2019
In this paper, an interface crack between dissimilar one-dimensional (1D) hexagonal quasicrystals with piezoelectric effect under anti-plane shear and in-plane electric loadings is studied. By using integral transform techniques, the mixed boundary value
Chen, X, Hu, KQ, Jin, H, Yang, Zhenjun
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The Unified Method: III Non-Linearizable Problems on the Interval

, 2011
Boundary value problems for integrable nonlinear evolution PDEs formulated on the finite interval can be analyzed by the unified method introduced by one of the authors and used extensively in the literature.
A S Fokas, Fokas A S, Fokas A S, J Lenells, Lenells J   +4 more
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A brief historical perspective of the Wiener-Hopf technique [PDF]

, 2007
It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Abrahams, ID, Lawrie, JB
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