Results 211 to 220 of about 102,040 (246)

Nonlinear Functional Parabolic Equations

2009
This work was motivated by works where nonlinear parabolic functional differential equations were considered which arise in certain applications. (See the references in [SiJa08].) In [SiJa08], existence theorems and some qualitative properties were proved on solutions to initial value problems for the functional equations (connected with the above ...
openaire   +1 more source

Nonlinear Degenerate Parabolic Equations with a Singular Nonlinearity

Acta Applicandae Mathematicae
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hichem Khelifi, Fares Mokhtari
openaire   +2 more sources

Nonlinear Second Order Parabolic Equations

2021
The parabolic partial differential equations model one of the most important processes in the real-world: diffusion. Whether it is the diffusion of energy in space-time, the diffusion of species in ecology, the diffusion of chemicals in biochemical processes, or the diffusion of information in social networks, diffusion processes are ubiquitous and ...
openaire   +1 more source

Nonlinear parabolic equations for measures

St. Petersburg Mathematical Journal, 2012
Summary: A new existence result is established for weak parabolic equations for probability measures. Sufficient conditions are given for the existence of local and global-in-time probability solutions of the Cauchy problem for such equations. Some conditions under which global-in-time solutions do not exist are indicated.
Manita, O. A., Shaposhnikov, S. V.
openaire   +2 more sources

High order nonlinear parabolic equations

Journal of Soviet Mathematics, 1991
The paper is devoted to the exposition of theorems on solvability of boundary value problems for quasilinear and nonlinear Petrovskii parabolic equations in divergence and nondivergence structure. Chapter 1 is devoted to the exposition of the methods of monotonicity and compactness to study the boundary value problems for quasilinear parabolic ...
openaire   +2 more sources

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

Nonlinear elliptic and parabolic equations

Journal of Soviet Mathematics, 1979
Results of recent years are presented on the theory of nonlinear elliptic and parabolic equations of any order including equations of infinite order.
openaire   +1 more source

Nonlinear Parabolic Equations

Mathematical Tables and Other Aids to Computation, 1948
Bruce L. Hicks, H. G. Landau
openaire   +1 more source

Parabolic equations with operator nonlinearity

Asian-European Journal of Mathematics
In this paper, we consider partial differential equations (PDE) of parabolic type with functional nonlinearity in the reaction summand. Our goal is to give the answer of the question if there exist a set of smooth functions satisfying the inequality [Formula: see text], where [Formula: see text] is a parabolic operator in the parabolic PDE with a ...
Saba Iftikhar, Alina Lazu, Tzanko Donchev, Nikolay Kitanov, Dimitar Kolev   +4 more
openaire   +1 more source

On boundary value problems for nonlinear parabolic equations

1957
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources