Results 21 to 28 of about 205 (28)
Generalised Fractional Evolution Equations of Caputo Type [PDF]
, 2017 This paper is devoted to the study of generalised time-fractional evolution equations involving Caputo type derivatives. Using analytical methods and probabilistic arguments we obtain well-posedness results and stochastic representations for the ...
Hernández-Hernández, M. E. +2 more
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Crack Theory with Singularities at the Boundary [PDF]
, 2003 2002 Mathematics Subject Classification: 35S15, 35J70, 35J40, 38J40We investigate crack problems, where the crack boundary has conical singularities. Elliptic operators with two-sided elliptic boundary conditions on the plus and minus sides of the crack ...
Schulze, B. W.
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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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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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Boundary value problems with Atiyah-Patodi-Singer type conditions and spectral triples
, 2017 We study realizations of pseudodifferential operators acting on sections of vector-bundles on a smooth, compact manifold with boundary, subject to conditions of Atiyah-Patodi-Singer type. Ellipticity and Fredholm property, compositions, adjoints and self-
Battisti, U., Seiler, J.
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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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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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