Results 21 to 28 of about 202 (28)

Well-Posedness of the Cauchy Problem for Inhomogeneous Time-Fractional Pseudo-Differential Equations [PDF]

, 2006
Mathematics Subject Classification: 26A33, 45K05, 35A05, 35S10, 35S15, 33E12In the present paper the Cauchy problem for partial inhomogeneous pseudo-differential equations of fractional order is analyzed. The solvability theorem for the Cauchy problem in
Saydamatov, Erkin
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Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions

, 2018
We present explicit formulas for solutions to nonhomogeneous boundary value problems involving any positive power of the Laplacian in the half-space. For non-integer powers the operator becomes nonlocal and this requires a suitable extension of Dirichlet-
Abatangelo, Nicola, Dipierro, Serena, Fall, Mouhamed Moustapha, Jarohs, Sven, Saldaña, Alberto   +4 more
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Sequences of weak solutions for fractional equations [PDF]

, 2013
This work is devoted to study the existence of infinitely many weak solutions to nonlocal equations involving a general integrodifferential operator of fractional type.
Bisci, Giovanni Molica
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C*-Structure and K-Theory of Boutet de Monvel's Algebra

, 2001
We consider the norm closure $A$ of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold $X$ with boundary $Y$.
B., Boutet de Monvel L., Brown L. G., Coburn L. A., Coburn L. A., Cordes H. O., Fedosov B. V., Gramsch B., Grubb G., Grubb G., I., Kohn J. J., Lauter R., Lauter R., Melrose R., Nest R., Nest R., R., R., Rempel S., Schrohe E., Schrohe E., Schulze B.-W., Seeley R. T.   +23 more
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Non-commutative residue of projections in Boutet de Monvel's calculus

, 2007
Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the ...
Gaarde, Anders
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Design of a hesitant movement gesture for mobile robots. [PDF]

PLoS One, 2021
Reinhardt J, Bengler K.
europepmc   +1 more source

Interior and Boundary-Regularity for Fractional Harmonic Maps on Domains

, 2011
We prove continuity on domains up to the boundary for n/2-polyharmonic maps into manifolds. Technically, we show how to adapt Helein's direct approach to the fractional setting.
Schikorra, Armin
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Trace Expansions and the Noncommutative Residue for Manifolds with Boundary

, 2001
For a pseudodifferential boundary operator A of integer order \nu and class zero (in the Boutet de Monvel calculus) on a compact n-dimensional manifold with boundary, we consider the function Trace(AB^{-s}) where B is an auxiliary system formed of the ...
Grubb, Gerd, Schrohe, Elmar
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