Results 191 to 200 of about 40,833 (232)

A System of Degenerate Parabolic Equations

SIAM Journal on Mathematical Analysis, 1990
The system of two nonlinear equations which arises in plasma physics is considered. The equations are of degenerate parabolic type. The global existence theorem for the Cauchy problem is proved. The proof is based on the Lagrangian transformation, thus using a particular structure of the system.
BERTSCH, MICHIEL, Kamin, S.
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Nonlinear Degenerate Parabolic Equations

Acta Mathematica Hungarica, 1997
The author proves the existence of weak solutions of the nonlinear degenerate parabolic initial-boundary value problem \[ {{\partial u}\over{\partial t}} - \sum_{i=1}^N D_iA_i(x,t,u,Du) + A_0(x,t,u,Du) = f(x,t)\quad\text{ in }\Omega\times(0,T), \] \[ u(x,0) = u_0(x)\quad \hbox{ in }\Omega, \] in the space \(L^p(0,T,W^{1,p}_0(v,\Omega))\), where ...
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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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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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Symmetry for degenerate parabolic equations

Archive for Rational Mechanics and Analysis, 1989
For ...
ALESSANDRINI, GIOVANNI, GAROFALO N.
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ON UNIQUENESS CLASSES FOR DEGENERATING PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1971
We 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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Quenching for degenerate parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1998
The 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 Degenerate Nonlinear Parabolic Equations on the Bohr Compactum

Differential Equations, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Degenerate and Singular Parabolic Equations

2011
Let 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, Ugo Gianazza, Vincenzo Vespri   +2 more
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