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Carleman Estimates of Some Stochastic Degenerate Parabolic Equations and Application
SIAM Journal of Control and Optimization, 2019This paper is devoted to establishing global Carleman estimates for some forward and backward stochastic degenerate parabolic equations.
Xu Liu, Yongyi Yu
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A Degenerate Parabolic Logistic Equation [PDF]
, 2014 We analyze the behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearity and Dirichlet boundary conditions. Our results concern existence and strong localization in the spatial region in which the logistic nonlinearity cancels.
Aníbal Rodríguez-Bernal +2 more
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A Harnack inequality for degenerate parabolic equations [PDF]
Communications in Partial Differential Equations, 1984 (1984). A Harnack inequality for degenerate parabolic equations. Communications in Partial Differential Equations: Vol. 9, No. 8, pp. 719-749.
F. Chiarenza, Serapioni, Raul Paolo
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Homogenization of degenerate elliptic‐parabolic equations
Asymptotic Analysis, 2004In 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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On the homogenization of degenerate parabolic equations
Acta Mathematicae Applicatae Sinica, 2000The 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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Degenerate integrodifferential equations of parabolic type
2006Il 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 existence of solution for degenerate parabolic equations with singular terms
, 2018: We are interested in results concerning the solutions to the parabolic problems whose simplest model is the following: where T > 0, N ≥ 2, B > 0, u 0 is a positive function in L ∞ (Ω) bounded away from zero and f is a nonnegative function that belongs ...
A. Benkirane, Badr El Haji, M. Moumni
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A numerical approach to degenerate parabolic equations
Numerische Mathematik, 2002In 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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Degenerate parabolic equations and Harnack inequality
Annali di Matematica Pura ed Applicata, 1984Viene 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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