A strong contractivity property for semigroups generated by differential operators
نویسندگان
چکیده
منابع مشابه
Trotter's Product Formula for Semigroups Generated by Quasilinear Elliptic Operators
Trotter's product formula is given for nonlinear semigroups in L1 (fi^) generated by quasilinear operators of the form Aic)}^t^h'u, where \ + ■ ■ ■ + in L'fr?^).
متن کاملQuantum dynamical semigroups generated by noncommutative unbounded elliptic operators
We study quantum dynamical semigroups generated by noncommutative unbounded elliptic operators which can be written as Lindblad type unbounded generators. Under appropriate conditions, we first construct the minimal quantum dynamical semigroups for the generators and then use Chebotarev and Fagnola’s sufficient conditions for conservativity to show that the semigroups are conservative.
متن کاملConjugacy of Strongly Continuous Semigroups Generated by Normal Operators
In this work, we show that a strongly continuous semigroup generated by a normal operator N is conjugate to the semigroup generated by the real part of N , provided zero is not an eigenvalue of the real part of N . We also show that in case N satisfies a certain sectorial property, the homeomorphism establishing the conjugacy, as well as its inverse, is locally Hölder continuous. Moreover, in c...
متن کاملSimilarity Invariant Semigroups Generated by Non-fredholm Operators
Let A be a bounded operator on a separable, infinite dimensional Hilbert space H. Moreover, assume that A is not in the set C + K(H) of operators expressible as a sum of a scalar multiple of identity and a compact operator. What is the smallest similarity invariant semigroup containing operator A? Equivalently, which operators can be expressed as products of operators, similar to A? A partial a...
متن کاملA Class of Dirichlet Forms Generated by Pseudo Differential Operators
We prove that under suitable assumptions it is possible to construct some Dirichlet forms starting with pseudo differential operators.
متن کاملذخیره 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: Transactions of the American Mathematical Society
سال: 1988
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1988-0936810-0