Results 231 to 240 of about 1,571 (266)

Stabilization of Abstract Parabolic Equations

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.
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HIGHER APPROXIMATIONS OF THE AVERAGING METHOD FOR ABSTRACT PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1973
Translation from Mat. Sb. (N.S.) 92(134), 541--549 (1973; Zbl 0303.35004).
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Moving Surfaces and Abstract Parabolic Evolution Equations

1999
It is the purpose of this paper to give a survey over some recent developments in the theory of classical solutions to elliptic and parabolic problems involving moving surfaces. Problems of this type do not satisfy a superposition principle for solutions and, hence, carry an inherent nonlinear structure. In fact, it turns out that most of the equations
Joachim Escher, Gieri Simonett
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A remark on semilinear perturbations of abstract parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1985
The author studies an abstract semilinear Cauchy problem \[ du/dt=Au+f(u);\quad u(0)=\phi, \] with A a linear operator in a Banach space X being the infinitesimal generator of an analytic semigroup in X and f a nonlinear mapping. The proof of the theorem about regularity and continuous dependence of the solution of the initial data is very interesting.
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Abstract singular parabolic equations

Communications in Partial Differential Equations, 1982
Jeff E. Lewis, Cesare Parenti
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Quasilinear Abstract Parabolic Evolution Equations with Applications

2002
We are concerned with the Cauchy problem of a quasilinear parabolic evolution equation $$ \left\{ {\begin{array}{*{20}{c}} {\frac{{dU}}{{dt}} + A\left( U \right)U = F\left( U \right),0 < t \leqslant T,} \\ {U(0) = {U_{0}}} \\ \end{array} } \right. $$
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Shadowing for Abstract Parabolic Equations

2023
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Existence of solutions to nonlinear parabolic equations via majorant integral kernel

Nonlinear Analysis: Theory, Methods & Applications, 2022
Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe   +2 more
exaly  

On fundamental solutions for abstract parabolic equations

1986
ACQUISTAPACE, PAOLO, TERRENI B.
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Nonlocal and Abstract Parabolic Equations and their Applications

Banach Center Publications, 2009
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