Results 151 to 160 of about 113,647 (186)

Parabolicity of a Class of Higher-Order Abstract Differential Equations

Proceedings of the American Mathematical Society, 1994
Summary: Let \(E\) be a complex Banach space, \(c_ i\in \mathbb{C}\) \((1\leq i\leq n- 1)\), and \(A\) be a nonnegative operator in \(E\). We discuss the parabolicity of the higher-order abstract differential equations \[ u^{(n)}(t)+ \sum^{n- 1}_{i= 1} c_ i A^{k_ i} u^{(n- i)}(t)+ Au(t)= 0\leqno{(*)} \] and some perturbation cases of \((*)\).
Xio, Tijun, Liang, Jin
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Abstract singular parabolic equations

Communications in Partial Differential Equations, 1982
Jeff E. Lewis, Cesare Parenti
openaire   +1 more source

A unified approach to abstract linear nonautonomous parabolic equations

1987
The paper can be considered as a review, in which - on the basis of certain assumptions - a unified approach to abstract linear nonautonomous parabolic equations is proposed. In particular, the linear parabolic Cauchy problem \[ (1)\quad u'(t)-A(t)u(t)=f(t),\quad t\in [0,T],\quad u'(0)=x \] is studied in a Banach space E, with \(x\in E\) and f:[0,T ...
ACQUISTAPACE, PAOLO, TERRENI B.
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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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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 ...
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Shadowing for Abstract Parabolic Equations

2023
openaire   +1 more source

On fundamental solutions for abstract parabolic equations

1986
ACQUISTAPACE, PAOLO, TERRENI B.
openaire   +2 more sources

Improved training of physics-informed neural networks for parabolic differential equations with sharply perturbed initial conditions

Computer Methods in Applied Mechanics and Engineering, 2023
Yifei Zong, Qizhi He, Alexandre M Tartakovsky   +2 more
exaly  

Harnack estimates for quasi-linear degenerate parabolic differential equations

Acta Mathematica, 2008
Ugo Pietro Gianazza, Vincenzo Vespri
exaly  

The tanh–coth method for solitons and kink solutions for nonlinear parabolic equations

Applied Mathematics and Computation, 2007
Abdul Majid Wazwaz
exaly