Absence of geometrical phases in the rotating stark effect
Absence of global solutions to a class of nonlinear parabolic inequalities
We study the absence of nonnegative global solutions to parabolic inequalities of the type , where , 0 < β ≤ 2, is the β/2 fractional power of the Laplacian. We give a sufficient condition which implies that the only global solution is trivial if p > 1 is small. Among other properties, we derive a necessary condition for the existence of local and global nonnegative solutions to the above problem for the function V satisfying , where a ≥ 0, b > 0, p > 1 and V₊(x): = maxV(x),0. We...
Absence of local and global solutions to an elliptic system with time-fractional dynamical boundary conditions.
Absence of nontrivial solutions for a class of partial differential equations and systems in unbounded domains.
Absence of positive eigenvalues for a class of subelliptic operators.
Absence of Positive Eigenvalues in a Class of Multiparticle Quantum Systems.
Absence of solutions to higher-order evolution differential inequalities.
Absolute continuity for elliptic-caloric measures
A Carleson condition on the difference function for the coefficients of two elliptic-caloric operators is shown to give absolute continuity of one measure with respect to the other on the lateral boundary. The elliptic operators can have time dependent coefficients and only one of them is assumed to have a measure which is doubling. This theorem is an extension of a result of B. Dahlberg [4] on absolute continuity for elliptic measures to the case of the heat equation. The method of proof is an...
Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others.
Absolute continuity of the spectrum of periodic operators of mathematical physics
The lecture is devoted to the problem of absolute continuity of the spectrum of periodic operators. A general approach to this problem was suggested by L. Thomas in 1973 for the case of the Schrödinger operator with periodic electric potential. Further application of his method to concrete operators of mathematical physics met analytic difficulties. In recent years several new problems in this area have been solved. We propose a survey of known results in this area, including very recent, and formulate...
Absolute spectral continuity for N-body Stark hamiltonians
Absolutely continuous spectrum and scattering in the surface Maryland model
We study the discrete Schrödinger operator in with the surface quasi periodic potential , where . We first discuss a proof of the pure absolute continuity of the spectrum of on the interval (the spectrum of the discrete laplacian) in the case where the components of are rationally independent. Then we show that in this case the generalized eigenfunctions have the form of the “volume” waves, i.e. of the sum of the incident plane wave and reflected from the hyper-plane waves, the form...
Absorption effects for some elliptic equations with singularities
We give an expository review of recent results obtained for elliptic equations having natural growth terms of absorption type and singular data. As a new result, we provide an application to the case of lower order terms of subcritical growth, proving a general solvability result with measure data for a class of equations modeled on (1.6).
Absorption semigroups and Dirichlet boundary conditions.
Abstract boundary-value operators and their adjoints
Abstract Cauchy problem
Abstract differential inclusions with some applications to partial differential ones
Abstract evolution equations on variable domains : an approach by minimizing movements
Abstract formulation of an age-physiology dependent population dynamics problem
Abstract linear hyperbolic equations and asymptotic equivalence as