Search Results - "POP, Camelia"
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Existence, uniqueness and the strong Markov property of solutions to Kimura diffusions with singular drift
Published in Transactions of the American Mathematical Society (01-08-2017)“…Motivated by applications to proving regularity of solutions to degenerate parabolic equations arising in population genetics, we study existence, uniqueness,…”
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2
Transition probabilities for degenerate diffusions arising in population genetics
Published in Probability theory and related fields (01-02-2019)“…We provide a detailed description of the structure of the transition probabilities and of the hitting distributions on boundary components of a manifold with…”
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3
Influence of preoperative left ventricular contractile reserve on postoperative ejection fraction in low-gradient aortic stenosis
Published in Circulation (New York, N.Y.) (11-04-2006)“…Dobutamine stress hemodynamics (DSH) has the potential to stratify operative risk in low-gradient aortic stenosis (AS), but little is known about the relation…”
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4
THE FEYNMAN–KAC FORMULA AND HARNACK INEQUALITY FOR DEGENERATE DIFFUSIONS
Published in The Annals of probability (01-09-2017)“…We study various probabilistic and analytical properties of a class of degenerate diffusion operators arising in population genetics, the so-called generalized…”
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5
Low-gradient aortic stenosis: Operative risk stratification and predictors for long-term outcome: A multicenter study using dobutamine stress hemodynamics
Published in Circulation (New York, N.Y.) (22-07-2003)“…The prognostic value of dobutamine stress hemodynamic data in the setting of low-gradient aortic stenosis has been addressed in small, single-center studies…”
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6
Boundary Estimates for a Degenerate Parabolic Equation with Partial Dirichlet Boundary Conditions
Published in The Journal of geometric analysis (01-07-2020)“…We study the boundary regularity properties and derive pointwise a priori supremum estimates of weak solutions and their derivatives in terms of suitable…”
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ON THE MARTINGALE PROBLEM FOR DEGENERATE-PARABOLIC PARTIAL DIFFERENTIAL OPERATORS WITH UNBOUNDED COEFFICIENTS AND A MIMICKING THEOREM FOR ITÔ PROCESSES
Published in Transactions of the American Mathematical Society (01-11-2015)“…Using results from a companion article by the authors (J. Differential Equations 254 (2013), 4401–4445) on a Schauder approach to existence of solutions to a…”
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An underactuated drift-free left-invariant control system on the Lie group ISO(3,1)
Published in ITM web of conferences (2019)“…The purpose of our paper is to study a class of left-invariant, drift-free optimal control problem on the Lie group ISO(3,1). The left-invariant, drift-free…”
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9
Stochastic representation of solutions to degenerate elliptic and parabolic boundary value and obstacle problems with Dirichlet boundary conditions
Published in Transactions of the American Mathematical Society (01-02-2015)“…We prove existence and uniqueness of stochastic representations for solutions to elliptic and parabolic boundary value and obstacle problems associated with a…”
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10
Stability Problems and Analytical Integration for the Clebsch’s System
Published in Open mathematics (Warsaw, Poland) (09-04-2019)“…The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the…”
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11
Regularity for the Supercritical Fractional Laplacian with Drift
Published in The Journal of geometric analysis (01-04-2016)“…We consider the linear stationary equation defined by the fractional Laplacian with drift. In the supercritical case, wherein the dominant term is given by the…”
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12
Systematic Review of Geometrical Approaches and Analytical Integration for Chen’s System
Published in Mathematics (Basel) (01-09-2020)“…The main goal of this paper is to present an analytical integration in connection with the geometrical frame given by the Hamilton–Poisson formulation of a…”
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13
Some new remarks on MHD Jeffery-Hamel fluid flow problem
Published in Open Physics (29-12-2017)“…A Hamilton-Poisson realization of the MHD Jeffery-Hamel fluid flow problem is proposed. Tthe nonlinear stability of the equilibrium states is discussed. A…”
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14
Stability Problems for Chua System with One Linear Control
Published in Journal of Applied Mathematics (01-01-2013)“…A Hamilton-Poisson realization and some stability problems for a dynamical system arisen from Chua system are presented. The stability and dynamics of a…”
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15
Stabilization and Analytic Approximate Solutions of an Optimal Control Problem
Published in Open Physics (20-08-2018)“…This paper analyses a dynamical system derived from a left-invariant, drift-free optimal control problem on the Lie group (3) × ℝ × ℝ in deep connection with…”
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16
An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group
Published in Journal of Applied Mathematics (01-01-2012)“…The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the…”
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17
A Hamilton-Poisson Model of the Chen-Lee System
Published in Journal of Applied Mathematics (01-01-2012)“…We will present some dynamical and geometrical properties of Chen-Lee system from the Poisson geometry point of view…”
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Published in Open mathematics (Warsaw, Poland) (20-03-2018)“…The paper is dealing with stability problems for a nonlinear system on the Lie group (3) × × . The approximate analytic solutions of the considered system via…”
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19
Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
Published in Open Physics (01-01-2016)“…The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic…”
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20
Optimal regularity of solutions to the obstacle problem for the fractional Laplacian with drift
Published in Journal of functional analysis (15-01-2015)“…We prove existence, uniqueness and optimal regularity of solutions to the stationary obstacle problem defined by the fractional Laplacian operator with drift,…”
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