QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS
Copyright policy )QUASIINVARIANT GAUSSIAN MEASURES FOR ONE-DIMENSIONAL HAMILTONIAN PARTIAL DIFFERENTIAL EQUATIONS
We prove the quasiinvariance of Gaussian measures (supported by functions of increasing Sobolev regularity) under the flow of one-dimensional Hamiltonian partial differential equations such as the regularized long wave, also known as the Benjamin–Bona–Mahony (BBM) equation.
Diffusion processes and stochastic analysis on manifolds, Hamiltonian flow, quasiinvariant measures, [MATH] Mathematics [math], Benjamin-Ono equation, 35Q53, Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds, KdV equations (Korteweg-de Vries equations), Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems, QA1-939, Benjamin-Bona-Mahony equation, Mathematics
Diffusion processes and stochastic analysis on manifolds, Hamiltonian flow, quasiinvariant measures, [MATH] Mathematics [math], Benjamin-Ono equation, 35Q53, Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds, KdV equations (Korteweg-de Vries equations), Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems, QA1-939, Benjamin-Bona-Mahony equation, Mathematics
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