Results 161 to 170 of about 341,593 (214)

Stabilization of Abstract Parabolic Equations

Progress in Nonlinear Differential Equations and Their Applications, 2019
In this chapter, we present a technique to design asymptotically exponentially stabilizing boundary proportional-type feedback controllers for nonlinear parabolic-like equations, namely equations for which their linear parts are generated by analytic \(C_0\)-semigroups.
Ionut́ Munteanu
semanticscholar   +2 more sources

The equations of Navier-Stokes and abstract parabolic equations

, 1985
W. Wahl
semanticscholar   +2 more sources

On fundamental solutions for abstract parabolic equations

, 1986
P. Acquistapace, B. Terreni
semanticscholar   +3 more sources

Bounded solutions of linear periodic abstract parabolic equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1988
SynopsisWe study the asymptotic behaviour of the parabolic evolution operatorG(t,s) associated with a family of generators of analytic semigroups {A(t);t∊ ℝ} in general Banach space, under the periodicity assumptionA(t) =A(t+T). We find new maximal regularity results for the bounded solutions of abstract nonhomogeneous parabolic equations in unbounded ...
A. Lunardi
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A JUSTIFICATION OF THE AVERAGING METHOD FOR ABSTRACT PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1970
In this paper the method of averaging of N.N. Bogoljubov is applied to abstract parabolic equations of the form (1)where is a linear, in general unbounded, operator generating an analytic semigroup, and is an operator subordinate to , in general a nonlinear map, possessing the mean Other conditions on the mapping are formulated in terms of the theory ...
I. Simonenko
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On the evolution operator for abstract parabolic equations

Israel Journal of Mathematics, 1987
The initial value problem for the differential equation in Banach space X is considered: \[ (1)\quad u'(t)=A(t)u(t)+f(t),\quad t_ ...
A. Lunardi
semanticscholar   +2 more sources

Regularization of backward parabolic equations in Banach spaces by generalized Sobolev equations

Journal of Inverse and Ill-Posed Problems, 2023
Let X be a Banach space with norm ∥ ⋅ ∥ {\|\cdot\|} . Let A : D ⁢ ( A ) ⊂ X → X {A:D(A)\subset X\rightarrow X} be an (possibly unbounded) operator that generates a uniformly bounded holomorphic semigroup. Suppose that ε > 0 {\varepsilon>0} and T > 0 {T>0}
N. Duc, D. Hào, M. Shishlenin
semanticscholar   +1 more source

Hölder regularity for non-autonomous abstract parabolic equations

Israel Journal of Mathematics, 1982
This paper contains some existence and uniqueness results for the strict and classical solutionsu : [0,T] →E of the non-autonomous evolution equationu 1(t)=Λ(t)u(t)+f(t) in a Banach spaceE under the classical Tanabe-Sobolevski assumptions.
G. Prato, E. Sinestrari
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Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion

Stochastic Analysis and Applications, 2021
In this study, fractional stochastic pseudo-parabolic equations driven by fractional Brownian motion are investigated. This work aims at establishing existence, uniqueness, regularity results for mild solutions to an initial value problem for considered ...
Tran Ngoc Thach, N. Tuan
semanticscholar   +1 more source