Results 21 to 30 of about 208 (30)
Existence Results for a critical fractional equation
, 2016 We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our approach still applies when adding small singular terms.
Bisci, Giovanni Molica +2 more
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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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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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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 +4 more
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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. +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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Numerical Approximation of a Fractional-In-Space Diffusion Equation, I [PDF]
, 2005 2000 Mathematics Subject Classification: 26A33 (primary), 35S15 (secondary)This paper provides a new method and corresponding numerical schemes to approximate a fractional-in-space diffusion equation on a bounded domain under boundary conditions of the ...
Anh, V., Ilic, M., Liu, F., Turner, I.
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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
Hopf's lemma for viscosity solutions to a class of non-local equations with applications
, 2019 We consider a large family of non-local equations featuring Markov generators of L\'evy processes, and establish a non-local Hopf's lemma and a variety of maximum principles for viscosity solutions.
Biswas, Anup, Lőrinczi, József
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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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