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Uniform resolvent convergence for a strip with fast oscillating boundary
Uniform resolvent convergence strip fast oscillating boundary Analysis of PDEs
2012/6/30
In a planar infinite strip with fast periodically oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small. On the oscillatin...
From resolvent estimates to damped waves
resolvent estimates damped waves Analysis of PDEs
2012/6/29
In this paper we show how to obtain decay estimates for the damped wave equation on a compact manifold without geometric control via knowledge of the dynamics near the un-damped set. We show that if r...
Semiclassical resolvent estimates at trapped sets
Resolvent estimates trapping propagation of singularities
2012/6/21
We extend our recent results on propagation of semiclassical resolvent estimates through trapped sets when a priori polynomial resolvent bounds hold. Previously we obtained non-trapping estimates in t...
Coverings over Tori and Topological Approach to Klein's Resolvent Problem
Tori and Topological Klein's Resolvent Problem Algebraic Geometry
2011/9/14
Abstract: This work answers the question what coverings over a topological torus can be induced from a covering over a space of dimension $k$. The answer to this question is then applied in algebro-ge...
Extending cutoff resolvent estimates via propagation of singularities
cutoff resolvent estimates propagation of singularities Analysis of PDEs
2011/9/9
Abstract: We use a gluing method developed in joint work with Andr\'as Vasy to show that polynomially bounded cutoff resolvent estimates at the real axis imply, up to a constant factor, the same estim...
Spectral estimates for resolvent differences of self-adjoint elliptic operators
Spectral estimates resolvent differences
2011/2/24
The notion of quasi boundary triples and their Weyl functions is an abstract concept to treat spectral and boundary value problems for elliptic partial differential equations.
Estimates for the resolvent kernel of the Laplacian on p.c.f. self similar fractals and blowups
resolvent kernel Laplacian on p.c.f. self similar fractals blowups
2010/12/14
One of the main features of analysis on post-critically finite self-similar (pcfss) sets is
that it is possible to understand the behavior of the Laplacian and its inverse, the Green
operator, in te...
On a class of $J$-self-adjoint operators with empty resolvent set
Elliptic curve Elliptic divisibility sequence Primitive divisor
2010/11/30
We establish conditions necessary for the n-th element of any elliptic divisibility sequence generated by points on Ea : y2 = x3+ax to not have a primitive divisor. As a consequence of this, along wit...
Resolvent at low energy III: the spectral measure
scattering metric resolvent kernel spectral measure
2010/12/7
Let M◦ be a complete noncompact manifold and g an asymptotically conic Riemaniann metric on M◦, in the sense that M◦ compactifies to a manifold with boundary M in such a way that g b...
Generalized $(A,\eta)-$ Resolvent Operator Technique and Sensitivity Analysis for Relaxed Cocoercive Variational Inclusions
Sensitivity analysis Quasivariational inclusions Maximal relaxed monotone mapping $(A,eta)-monotone$ mapping Generalized resolvent operator technique
2008/7/1
Sensitivity analysis for relaxed cocoercive variational inclusions based on the generalized resolvent operator technique is discussed The obtained results are general in nature.