Results 91 to 100 of about 18,096 (200)

Analytic Feller Semigroups Via Hypergeometric Series

, 2014
Degenerate differential operators with Wentzell boundary conditions are proved to generate analytic semigroups in the space of continuous functions on [0,1] using hypergeometric series.
FAVINI, ANGELO, Goldstein J. A., Goldstein R. G., Romanelli S.   +3 more
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Sinclair Homomorphisms and Semigroups of Analytic Functions

Journal of Functional Analysis, 1997
The author studies homomorphisms from the convolution algebra \(L^1(\mathbb{R}^+)\) into certain Banach algebras of functions on the closed unit disc \(\mathbb{D}\). It is shown that for the algebra \(A^+\) of absolutely convergent Taylor series on \(\mathbb{D}\), every homomorphism \(\Phi\) is of the form \(\Phi(h)= \int^\infty_0 h(t)\nu^t dt ...
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Heat and Laplace type equations with complex spatial variables in weighted Fock spaces

Electronic Journal of Differential Equations, 2020
In a recent book co-authored by the authors of this article, we studied by semigroup theory methods several classical evolution equations, including the heat and Laplace equations, with real time variable and complex spatial variable, under the ...
Ciprian G. Gal, Sorin G. Gal
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The Algebraic Decay Behavior of Weak Solutions to the Magnetohydrodynamic Equations in Unbounded Domains

Mathematics
This paper investigates the long-term asymptotic behavior of solutions to the initial-boundary value problem for the three-dimensional incompressible viscous magnetohydrodynamic (MHD) equations in general unbounded domains. Addressing the difficulty that
Xuelin Chen, Mingjie Zhang
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Analytic semigroups generated by square Hörmander operators

, 1996
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 Equivalent Condition for Analytic C0-Semigroups

Journal of Mathematical Analysis and Applications, 1993
The paper studies the conditions on the infinitesimal generator of a \(C_ 0\)-semigroup under which it can be extended to an analytic semigroup. The condition is given by the following theorem. Theorem. Let \(T(t)\) be a \(C_ 0\)-semigroup with infinitesimal generator \(A\).
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Approximations of solutions to nonlinear Sobolev type evolution equations

Electronic Journal of Differential Equations, 2003
In the present work we study the approximations of solutions to a class of nonlinear Sobolev type evolution equations in a Hilbert space. These equations arise in the analysis of the partial neutral functional differential equations with unbounded delay.
Dhirendra Bahuguna, Reeta Shukla
doaj  

Fractional Evolution Equation with Nonlocal Multi-Point Condition: Application to Fractional Ginzburg–Landau Equation

Axioms
This paper is devoted to studying the existence and uniqueness of mild solutions for semilinear fractional evolution equations with the Hilfer–Katugampola fractional derivative and under the nonlocal multi-point condition.
Ahmed Salem, Rania Al-Maalwi
doaj   +1 more source

On Liu's analyticity criterion for semigroups

Semigroup Forum, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions to quasi-linear differential equations with iterated deviating arguments

Electronic Journal of Differential Equations, 2014
We establish sufficient conditions for the existence and uniqueness of solutions to quasi-linear differential equations with iterated deviating arguments, complex Banach space.
Rajib Haloi
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