Results 121 to 130 of about 564 (167)

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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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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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS. II

Mathematics of the USSR-Sbornik, 1984
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Irregular Solutions of Linear Degenerate Elliptic Equations

Potential Analysis, 1998
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B. Franchi, Serapioni, Raul Paolo, Serra Cassano, Francesco   +2 more
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The Degenerate Venttsel Problem to Elliptic Equations

Journal of Mathematical Sciences, 2006
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Nonlinear elliptic problems approximating degenerate equations

Nonlinear Analysis: Theory, Methods & Applications, 1997
The authors are concerned with the following problem: \[ -\text{div } ( a_{\varepsilon}(x) \nabla u) + g(x,u) = 0 \quad \text{in }\Omega, \quad u = 0 \quad \text{on }\partial \Omega, \leqno(P_{\varepsilon}) \] where \(g \) is subcritical, \(\Omega\) bounded, and the matrix \(a_{\varepsilon}\) satisfies an ellipticity condition and is assumed to ...
M. Musso, PASSASEO, Donato
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Unique Continuation for Degenerate Elliptic Equations

1992
A famous result, first proved in ℝ2 by Carleman [C] in 1939, states that if \(V \in L_{\text{loc}}^{\infty}(\mathbb{R}^N)\) and u is a solution to Δu = Vu in a connected open set \(D \subset \mathbb{R}^N\), then u cannot vanish to infinite order at a point x 0 ∈ D unless u ≡ 0 in D.
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DEGENERATE ELLIPTIC PSEUDODIFFERENTIAL EQUATIONS OF PRINCIPAL TYPE

Mathematics of the USSR-Sbornik, 1970
This article studies pseudodifferential operators which are elliptic outside an (n - 1)-dimensional submanifold ω of a closed n-dimensional manifold Γ. It is assumed that at those points of the cotangent bundle at which the ellipticity condition is violated the gradient of the determinant of the symbol is nonzero and transversal to ω.
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Degenerate elliptic equations with singular nonlinearities

Calculus of Variations and Partial Differential Equations, 2008
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CASTORINA, DANIELE, and Esposito Pierpaolo, and Sciunzi Berardino, and RI Esposito Pierpaolo/G-7821-2012   +3 more
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Regular points for degenerate elliptic equations

1985
The authors study regular points for elliptic operators which are degenerate in the sense of \textit{M. K. V. Murthy} and \textit{G. Stampacchia} [Ann. Mat. Pura Appl., IV. Ser. 80, 1-122 (1968; Zbl 0185.192)]. The main tools are capacities and weighted Sobolev spaces.
BIROLI M, MARCHI, Silvana
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