Results 321 to 330 of about 119,303 (372)

An inverse problem of identifying the radiative coefficient in a degenerate parabolic equation

, 2013
The authors investigate an inverse problem of determining the radiative coefficient in a degenerate parabolic equation from the final overspecified data.
Z. Deng, Liu Yang
semanticscholar   +1 more source

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 ...
openaire   +4 more sources

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.
openaire   +2 more sources

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
openaire   +1 more source

A nonlinear degenerate parabolic equation

Nonlinear Analysis: Theory, Methods & Applications, 1990
The Cauchy problem for the equation \(u_ t-\alpha (u)_{xx}+\beta (u)_ x\ni f\) has a unique integral solution in \(L^ 1({\mathbb{R}})\) when \(\alpha\) and \(\beta\) are maximal monotone graphs in \({\mathbb{R}}\times {\mathbb{R}}\), \(0\in Int D(\alpha)\), \(\beta\) is dominated by \(\alpha\) in a certain sense, and at each point of their common ...
openaire   +2 more sources

A Degenerate Parabolic Logistic Equation

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.
José M. Arrieta, Rosa Pardo, Aníbal Rodríguez-Bernal   +2 more
openaire   +1 more source

Inverse Problem of Determining the Absorption Coefficient in a Degenerate Parabolic Equation in the Class of L2-Functions

Journal of Mathematical Sciences, 2020
V. Kamynin
semanticscholar   +1 more source

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).
openaire   +1 more source

On a Nonlocal Boundary Value Problem for a Degenerate Parabolic-Hyperbolic Equation with Fractional Derivative

Lobachevskii Journal of Mathematics, 2022
N. Ochilova, T. Yuldashev
semanticscholar   +1 more source

Cauchy’s Problem for Degenerate Quasilinear Parabolic Equations

Theory of Probability & Its Applications, 1964
In this paper we consider the differential properties of the solution to the Cauchy problem for the quasilinear parabolic equation \[ (1)\qquad \frac{{\partial v}}{{\partial t}} = \frac{1}{2}\sum\limits_{i,j = 1}^n {c_{ij} } (t,x,v)\frac{{\partial ^2 v}}{{\partial x_i \partial x_i }} + \sum\limits_{i = 1}^n {a_i } (t,x,v)\frac{{\partial v}}{{\partial ...
openaire   +1 more source