Results 281 to 290 of about 2,766 (314)

Homogenization of degenerate elliptic‐parabolic equations

Asymptotic Analysis, 2004
In this paper we give a result of G‐convergence for a class of strongly degenerate parabolic equations in the case of periodic coefficients. The operators have the form μ(x)∂t−div(a(x,t)·D) where the quadratic form associated to a(x,t) is degenerating as a Muckenhoupt weight and the coefficient μ is greater or equal to zero, possibly μ≡0, that is the ...
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Degenerate integrodifferential equations of parabolic type

2006
Il contributo è un articolo scientifico originale, non pubblicato altrove in nessuna forma, e sottoposto a referee. Il volume contiene solo articoli originali.
FAVINI, ANGELO, A. LORENZI, H. TANABE
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On the homogenization of degenerate parabolic equations

Acta Mathematicae Applicatae Sinica, 2000
The homogenization of the nonlinear degenerate parabolic equations, $$\partial _t b(u) - diva(x/ \in ,t/ \in ,u,\nabla u) = f(x,t)$$ , is studied, where,a(y,t, μ, λ) is periodic in (y,t) andb may be a nonliear function whose prototype is signu ...
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A numerical approach to degenerate parabolic equations

Numerische Mathematik, 2002
In this work we propose a numerical approach to solve some kind of degenerate parabolic equations. The underlying idea is based on the maximum principle. More precisely, we locally perturb the (initial and boundary) data instead of the nonlinear diffusion coefficients, so that the resulting problem is not degenerate.
Ioan Pop, Wa Yong
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A nonlinear degenerate parabolic equation

Nonlinear Analysis: Theory, Methods & Applications, 1990
We shall be concerned with the initial-value problem of the form u t -v xx +w x =f, v∈α(u), w∈β(u) in R×(0,T), u(x,0)=u 0 (x) on R, where T is a fixed positive real number, f∈L 1 (R×(0,T)), and α and β are maximal monotone graphs in R×R, each containing the ...
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Degenerate parabolic equations and Harnack inequality

Annali di Matematica Pura ed Applicata, 1984
Viene risolto il problema di Cauchy Dirichlet relativo all'operatore parabolico degenere ∂u/∂t−∂/∂xi(aij(x, t) ∂u/∂xj), in opportune ipotesi di integrabilita per gli autovalori di aij(x, t). Vengono inoltre forniti controesempi circa l'impossibilita di risultati di regolarita per le soluzioni deboli mostrando in tal modo che operatori parabolici ...
F. Chiarenza, Serapioni, Raul Paolo
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Degenerate elliptic-parabolic equation

Communications in Partial Differential Equations, 1978
(1978). Degenerate elliptic-parabolic equation. Communications in Partial Differential Equations: Vol. 3, No. 11, pp. 1007-1040.
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Pointwise estimates for degenerate parabolic equations

Applicable Analysis, 1987
In this paper we establish an invariant Harnack type inequality for positive solutions of linear degenerate parabolic equations. Consequently we prove Holder continuity of weak solutions.The cylinders on which this invariant Harnack inequality holds are not anymore the usual parabolic cylinders.
F. Chiarenza, Serapioni, Raul Paolo
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Symmetry for degenerate parabolic equations

Archive for Rational Mechanics and Analysis, 1989
ALESSANDRINI, GIOVANNI, GAROFALO N.
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Degenerate Parabolic and Elliptic Equations

1994
The region where the equation deteriorates is fixed for linear and semilinear degenerate equations. The cases usually discussed are that the degenerate region is on the boundary. The two approaches are often used. One is the barrier argument and another is introducing the weighted Sobolev spaces.
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