Vect(S1) Action on Pseudodifferential Symbols on S1 and (Noncommutative) Hydrodynamic Type Systems

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the noncommutative residue for pseudodifferential operators with polyhomogeneous symbols

We study various aspects of the noncommutative residue for an algebra of pseudodifferential operators whose symbols have an expansion

متن کامل

Virasoro Action on Pseudo-differential Symbols and (Noncommutative) Supersymmetric Peakon Type Integrable Systems

Using Grozman’s formalism of invariant differential operators we demonstrate the derivation of N = 2 Camassa-Holm equation from the action of V ect(S1|2) on the space of pseudo-differential symbols. We also use generalized logarithmic 2-cocycles to derive N = 2 super KdV equations. We show this method is equally effective to derive Camassa-Holm family of equations and these system of equations ...

متن کامل

On the noncommutative residue for pseudodifferential operators with log–polyhomogeneous symbols

We study various aspects of the noncommutative residue for an algebra of pseudodifferential operators whose symbols have an expansion

متن کامل

Pseudodifferential operators with homogeneous symbols

We prove boundedness of pseudodifferential operators with symbols satisfying the conditions |∂ ξ ∂ xa(x, ξ)| ≤ Cβ,γ |ξ|m−|β|+|γ| on homogeneous Besov-Lipschitz and Triebel-Lizorkin spaces

متن کامل

Pseudodifferential Operators with Rough Symbols

In this work, we develop L boundedness theory for pseudodifferential operators with rough (not even continuous in general) symbols in the x variable. Moreover, the B(L) operator norms are estimated explicitly in terms of scale invariant quantities involving the symbols. All the estimates are shown to be sharp with respect to the required smoothness in the ξ variable. As a corollary, we obtain L...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2006

ISSN: 1776-0852

DOI: 10.2991/jnmp.2006.13.4.9