Results 151 to 160 of about 366 (188)

On analytic homomophisms of analytic semigroups

This thesis deals with real and complex analytic multiplicative homomophisms ф from an analytic semigroup M(n,F) to F taking 0 to 0 where F is either the set of real numbers or couplex numbers. We shall prove that either ф Ξ 0 or there exists a natural number m such that ф ( A) = (det A)^m for all A in M(n‚F).
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Remarks on generators of analytic semigroups

Israel Journal of Mathematics, 1979
This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups inL
Crandall, M. G., Pazy, A., Tartar, L.
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Analytic semigroups and interpolation

2018
Throughout the chapter X is a complex Banach space, A : D(A) ⊂ X ↦ X is a sectorial operator (i.e., a linear operator satisfying (5.1)), and e tA is the semigroup generated by A.
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Analytic Semigroups

2021
Luca Lorenzi, Abdelaziz Rhandi
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On the sum of generators of analytic semigroups

1996
Summary: Let \(A\) and \(B\) be generators of analytic semigroups in a Banach space. Under some conditions on the commutator of the resolvents of \(A\) and \(B\), already considered in the literature and not implying relative boundedness, we prove that the closure of \(A+B\) (or a proper extension of it) also generates an analytic semigroup, and we ...
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Sesquilinear Forms and Analytic Semigroups

2014
Applying the theorems of Hille–Yosida or Lumer–Phillips is sometimes unsatisfactory, as they make no claim about possible regularity gain (either in space or time) of solutions. In this chapter we specialize our previous investigations to parabolic equations.
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The Analytical and Topological Theory of Semigroups

1990
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.
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On a Family of Generators of Analytic Semigroups

2023
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Analytic semigroups generated by square Hörmander operators

1997
Summary: We show that degenerate elliptic operators of Hörmander type realized in \(\mathbb{R}^n\) generate analytic semigroups in proper Sobolev spaces and we characterize some real interpolation spaces related to the original problem.
U. GIANAZZA, VESPRI, VINCENZO
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An analytic semigroup generated by a fractional differential operator

Journal of Mathematical Analysis and Applications, 2020
Katarzyna Ryszewska
exaly