Results 31 to 40 of about 234 (137)
Anisotropic nonlinear diffusion with absorption: existence and extinction
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 427-434, 1996., 1994 The authors prove that the nonlinear parabolic partial differential equation with homogeneous Dirichlet boundary conditions and a nonnegative initial condition has a nonnegative generalized solution u. They also give necessary and sufficient conditions on the constitutive functions φij and f which ensure the existence of a time t0 > 0 for which u ...
Alan V. Lair, Mark E. Oxley
wiley +1 more source
Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations
Advances in Differential Equations, 2008 We prove an intrinsic Harnack inequality for non-negative local weak solutions of a wide class of doubly nonlinear degenerate parabolic equations whose prototype is ut − div(u|Du|Du) = 0, p > 2, m > 1.
S. Fornaro, M. Sosio
semanticscholar +1 more source
Null controllability for a degenerate population model in divergence form via Carleman estimates
Advances in Nonlinear Analysis, 2019 In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
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A system of impulsive degenerate nonlinear parabolic functional‐differential inequalities
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 59-68, 1995., 1994 A theorem about a system of strong impulsive degenerate nonlinear parabolic functional‐differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, some theorems about impulsive degenerate nonlinear parabolic differential inequalities and the uniqueness of a classical solution of an impulsive degenerate nonlinear ...
Ludwik Byszewski
wiley +1 more source
Classical and Quantum Mechanical Models of Many-Particle Systems
Oberwolfach Reports, 2018 . This workshop was dedicated to the presentation of recent re- sults in the field of the mathematical study of kinetic theory and its natural extensions (statistical physics and fluid mechanics).
A. Arnold, E. Carlen, L. Desvillettes
semanticscholar +1 more source
Extinction properties of solutions for a fast diffusion equation with nonlocal source
Boundary Value Problems, 2013 In this paper, we investigate extinction properties of nonnegative nontrivial solutions for an initial boundary value problem of a fast diffusion equation with a nonlocal source in bounded domain.
Z. Fang, Mei Wang
semanticscholar +2 more sources
On the parabolic potentials in degenerate‐type heat equation
International Journal of Stochastic Analysis, Volume 4, Issue 2, Page 147-160, 1991., 1991 Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems.
Igor Malyshev
wiley +1 more source
Journal of Inequalities and Applications, 2014 This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions.
Changjun Li, Lu Sun, Z. Fang
semanticscholar +2 more sources
, 2008 Option pricing, Kolmogorov equations, Volatility modeling, CO 2 , 35K65, 91B28,
PASCUCCI, ANDREA +3 more
core +1 more source
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium
Open Mathematics, 2017 The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
doaj +1 more source