Results 1 to 10 of about 226 (46)

Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

Advanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
doaj   +1 more source

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.
core  

External optimal control of fractional parabolic PDEs

, 2019
In this paper we introduce a new notion of optimal control, or source identification in inverse, problems with fractional parabolic PDEs as constraints. This new notion allows a source/control placement outside the domain where the PDE is fulfilled.
Antil, Harbir, Verma, Deepanshu, Warma, Mahamadi   +2 more
core   +1 more source

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
core  

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.
core  

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
core  

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
core  

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
core  

A NEW INTERPOLATED PSEUDODIFFERENTIAL PRECONDITIONER FOR THE HELMHOLTZ EQUATION IN HETEROGENEOUS MEDIA. [PDF]

SIAM J Sci Comput
Acosta S, Khajah T, Palacios B.
europepmc   +1 more source