Related papers: Subelliptic Estimates
These notes deal with a few aspects of Lie algebras and Lie groups, including some matters related to exponentiation.
We present some old and new results on dispersive estimates for Schroedinger equations.
A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.
An overview of the recent developments in plurifine potential theory.
Some observations on the Wu-Sprung potential.
This thesis investigates on measure theoretic aspects of fluctuations of error terms appearing in various asymptotic formulas.
ECM survey article discussing the structure of subsets of Abelian groups which behave `a bit like' cosets (of subgroups).
We survey recent developments on the Restriction conjecture.
Some question about representations of $p$-adic groups are discussed.
We built some congruences on semigroups, from where a decomposition of quasi-separative semigroups was obtained.
We obtain new average results on the conjectures of Lang-Trotter and Sato-Tate about elliptic curves.
In this paper we give a survey of elliptic theory for operators associated with diffeomorphisms of smooth manifolds. Such operators appear naturally in analysis, geometry and mathematical physics. We survey classical results as well as…
In this paper we investigate the level sets of extremal Sobolev functions for subcritical exponents p. We conjecture that as p increases the corresponding extremal functions become more peaked, which we can measure by comparing their…
New lower bounds involving sum, difference, product, and ratio sets for $A\subset \C$ are given.
New types of maximal symplectic partial spreads are constructed.
Particular solutions of the Benney equations are constructed. Their properties are discussed.
This article gives a fundamental discussion on variable coefficients, self-adjoint, formally partially hypoelliptic differential operators. A generalization of the results to pseudo differential operators, is given in a following article in…
Hypoelliptic diffusion processes can be used to model a variety of phenomena in applications ranging from molecular dynamics to audio signal analysis. We study parameter estimation for such processes in situations where we observe some…
We consider wave models with lower order terms and recollect some recent results on energy and dispersive estimates for their solution based on symbolic type estimates for coefficients and partly stabilisation conditions. The exposition is…
Some aspects of the multidimensional soliton geometry are considered.