Results 21 to 30 of about 174 (43)

Boundary value problems of elliptic operators and reduction to the boundary techniques [PDF]

, 2018
We study properties of pseudodifferential operators which arise in their use in boundary value problems. Smooth domains as well as intersections of smooth domains are considered.
arxiv   +1 more source

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

Maximal $L_p$-regularity of non-local boundary value problems [PDF]

Monatsh. Math. 176 (2015), 53-80, 2014
We investigate the $\mathcal R$-boundedness of operator families belonging to the Boutet de Monvel calculus. In particular, we show that weakly and strongly parameter-dependent Green operators of nonpositive order are $\mathcal R$-bounded. Such operators appear as resolvents of non-local (pseudodifferential) boundary value problems.
arxiv   +1 more source

On the stabilization of the elasticity system by the boundary [PDF]

arXiv, 2007
We obtain free of resonances regions for the elasticity system in the exterior of a strictly convex body with dissipative boundary conditions under some natural assumptions on the behaviour of the geodesics on the boundary.
arxiv  

Potentials for elliptic boundary value problems in cones [PDF]

arXiv, 2014
We consider an elliptic pseudo differential equation in a multi-dimensional cone and starting wave factorization concept we add some boundary conditions. For the simplest cases explicit formulas for solution are given like layer potentials for classical case.
arxiv  

A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary [PDF]

arXiv, 2005
For a smooth manifold with boundary we construct a semigroupoid and a continuous field of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asymptotic multiplicativity of \hbar-scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.
arxiv  

The interior transmission problem and bounds on transmission eigenvalues [PDF]

arXiv, 2010
We study the interior transmission eigenvalue problem for sign-definite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many complex transmission eigenvalues are confined to a parabolic neighborhood of the positive real axis.
arxiv  

Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds [PDF]

arXiv, 2017
We study pseudodifferential boundary value problems in the context of the Boutet de Monvel calculus or Green operators, with nonsmooth coefficients on smooth compact manifolds with boundary. In order to have a definition that is independent of the choice of (smooth) coordinates, we prove that nonsmooth Green operators are invariant under smooth ...
arxiv  

Function spaces and extension results for nonlocal Dirichlet problems [PDF]

arXiv, 2016
We study function spaces and extension results in relation with Dirichlet problems involving integrodifferential operators. For such problems, data are prescribed on the complement of a given domain in the Euclidean space. We introduce a function space that serves as a trace space for nonlocal Dirichlet problems and study related extension results.
arxiv  

Design of a hesitant movement gesture for mobile robots. [PDF]

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