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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 ...
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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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Quenching for degenerate parabolic equations
Nonlinear Analysis: Theory, Methods & Applications, 1998The authors study local and global existence of nonnegative solutions of the equation \(u_t-(p(x)u_x)_x=f(u)\), \(x\in(0,a)\), \(t>0\), complemented by homogeneous Dirichlet boundary conditions and the initial condition \(u(x,0)=u_0(x)\). Here \(p,f,u_0\) satisfy certain regularity properties and \(p(0)=0\), \(p(x)>0\) for \(x>0\), \(\int_0^A dx/p(x)
Ke, L., Ning, S.
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ON UNIQUENESS CLASSES FOR DEGENERATING PARABOLIC EQUATIONS
Mathematics of the USSR-Sbornik, 1971We study the uniqueness classes of a generalized solution of the Cauchy problem (1)when the matrix is degenerate. A generalized solution is introduced with the help of an infinitesimal operator of a Markov process connected with the operator in (1).
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Hyperbolic Phenomena in a Degenerate Parabolic Equation
Journal of Partial Differential Equations, 1997M. Bertsch and R. Dal Passo [1] considered the equation u_t = (φ(u)ψ(u_z))x., where φ > 0 and ψ is a strictly increasing function with lim_{s → ∞} ψ(s) = ψ_∞ 0 is essential in their paper. In the present paper, we study the above equation under the degenerate condition φ(0) = 0.
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Symmetry for degenerate parabolic equations
Archive for Rational Mechanics and Analysis, 1989For ...
ALESSANDRINI, GIOVANNI, GAROFALO N.
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Some degenerate nonlinear parabolic equations
九州大学教養部数学雑誌, 1984The author proves existence, uniqueness and asymptotic behaviour of solutions of the initial value problem for the generalized porous medium equation on a bounded domain in \({\mathbb{R}}^ n\). In various cases, decay notes, positivity and uniqueness are given which extend known results in various directions.
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Degenerate and Singular Parabolic Equations
2011Let E be an open set in \(\mathbb{R}^{N}\) and for T > 0 let E T denote the cylindrical domain E × (0, T].
Emmanuele DiBenedetto +2 more
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On Degenerate Nonlinear Parabolic Equations on the Bohr Compactum
Differential Equations, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Degenerate Parabolic Logistic Equation
2014We 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.
José M. Arrieta +2 more
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