scholarly journals Stochastic Hamiltonian flows with singular coefficients

2018 ◽  
Vol 61 (8) ◽  
pp. 1353-1384 ◽  
Author(s):  
Xicheng Zhang
Keyword(s):  
Hamiltonian Flows ◽  
Singular Coefficients

scholarly journals Nonlinear evolution problems with singular coefficients in the lower order terms

2021 ◽  
Vol 28 (4) ◽  
Author(s):  
Fernando Farroni ◽  
Luigi Greco ◽  
Gioconda Moscariello ◽  
Gabriella Zecca
Keyword(s):  
Lower Order ◽  
Time Horizon ◽  
Existence Result ◽  
Nonlinear Evolution ◽  
Order Term ◽  
Time Behavior ◽  
Infinite Time ◽  
Singular Coefficient ◽  
Singular Coefficients ◽  
Lower Order Terms

AbstractWe consider a Cauchy–Dirichlet problem for a quasilinear second order parabolic equation with lower order term driven by a singular coefficient. We establish an existence result to such a problem and we describe the time behavior of the solution in the case of the infinite–time horizon.

Gaussian Model for Chaotic Instability of Hamiltonian Flows

1995 ◽  
Vol 74 (3) ◽  
pp. 375-378 ◽  
Author(s):  
Lapo Casetti ◽  
Roberto Livi ◽  
Marco Pettini
Keyword(s):  
Gaussian Model ◽  
Hamiltonian Flows

scholarly journals Chain recurrence, growth rates and ergodic limits

2007 ◽  
Vol 27 (5) ◽  
pp. 1509-1524 ◽  
Author(s):  
FRITZ COLONIUS ◽  
ROBERTA FABBRI ◽  
RUSSELL JOHNSON
Keyword(s):  
Lyapunov Exponents ◽  
Growth Rates ◽  
General Linear ◽  
Chain Recurrence ◽  
Hamiltonian Flows ◽  
Rotation Numbers ◽  
Linear Flows

AbstractAverages of functionals along trajectories are studied by evaluating the averages along chains. This yields results for the possible limits and, in particular, for ergodic limits. Applications to Lyapunov exponents and to concepts of rotation numbers of linear Hamiltonian flows and of general linear flows are given.

scholarly journals Approximating Multi-Dimensional Hamiltonian Flows by Billiards

2007 ◽  
Vol 272 (3) ◽  
pp. 567-600 ◽  
Author(s):  
A. Rapoport ◽  
V. Rom-Kedar ◽  
D. Turaev
Keyword(s):  
Hamiltonian Flows

scholarly journals Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules

2015 ◽  
Vol 22 (1) ◽  
pp. 227-296 ◽  
Author(s):  
Leonid Polterovich ◽  
Egor Shelukhin
Keyword(s):  
Hamiltonian Flows ◽  
Persistence Modules

scholarly journals Some examples related to Kato's conjecture

1996 ◽  
Vol 60 (2) ◽  
pp. 274-286 ◽  
Author(s):  
Rhonda J. Hughes ◽  
Paul R. Chernoff
Keyword(s):  
Wavelet Basis ◽  
Accretive Operators ◽  
Singular Coefficients

AbstractWe show that the Kato conjecture is true for m-accretive operators with highly singular coefficients. For operators of the form A = *F, where formally corresponds to d/dx + zδ on L2 (R), we prove that Dom (A1/2) = Dom() = e-zHH1(R) where H is the Heavysied function. By adapting recent methods of Auscher and Tchamitchian, we characterize Dom (A) in terms of an unconditional wavelet basis for L2(R).

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