The search session has expired. Please query the service again.
Hörmander’s famous Fourier multiplier theorem ensures the -boundedness of whenever for some , where we denote by the set of functions satisfying the Hörmander condition for derivatives. Spectral multiplier theorems are extensions of this result to more general operators and yield the -boundedness of provided for some sufficiently large. The harmonic oscillator shows that in general is not sufficient even if has a heat kernel satisfying gaussian estimates. In this paper,...
In this paper, for the second initial boundary value problem for Schrödinger systems, we obtain a performance of generalized solutions in a neighborhood of conical points on the boundary of the base of infinite cylinders. The main result are asymptotic formulas for generalized solutions in case the associated spectrum problem has more than one eigenvalue in the strip considered.
We prove that the Paneitz energy on the standard three-sphere is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
We prove that the Paneitz energy on the standard three-sphere S3 is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
We prove a
partial regularity result for local minimizers of variational
integrals of the type , assuming
that the integrand f satisfies (p,q) growth conditions.
We give some expansion formulas and the Kelvin principle for solutions of a class of iterated equations of elliptic type
In this paper we obtain all solutions which depend only on for a class of partial differential equations of higher order with singular coefficients.
Currently displaying 1 –
14 of
14