Results 81 to 90 of about 40,833 (232)

On the parabolic potentials in degenerate‐type heat equation [PDF]

International Journal of Stochastic Analysis, 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.
openaire   +1 more source

A boundary value problem for the fourth-order degenerate equation of the mixed type

Қарағанды университетінің хабаршысы. Математика сериясы
Many problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
doaj   +1 more source

Harnack Estimates for Quasi-Linear Degenerate Parabolic Differential Equations [PDF]

We establish the intrinsic Harnack inequality for non-negative solutions of a class of degenerate, quasilinear, parabolic equations, including equations of the p-Laplacian and porous medium type.
DiBenedetto, Emmanuele, Gianazza, Ugo, Vespri, Vincenzo   +2 more
core  

Degenerate semilinear parabolic equations

Differential and Integral Equations, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Class of Degenerate Totally Nonlinear Parabolic Equations

Journal of Mathematical Analysis and Applications, 1996
The following initial-boundary value problem for a degenerate totally nonlinear parabolic equation is considered: \[ u_t=\beta (\phi (x,u_x)u_{xx} + f(x,u,u_x)),\quad (x,t)\in (0,1)\times (0,\infty ), \] \[ u_x(j,t)\in (-1)^j\beta_{j}(u(j,t)),\;j=0,1, \quad u(x,0)=u_0(x), \] as well as its higher space dimensional analogue.
Lin, Chin-Yuan, Fan, Li-Chang
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Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions

ITM Web of Conferences, 2018
In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of viscosity solutions for elliptic and parabolic equations.
Duc Nguyen Vinh
doaj   +1 more source

Studying behavior of the asymptotic solutions to P-Laplacian type diffusion-convection model [PDF]

مجلة جامعة الانبار للعلوم الصرفة
The rescaling method is presented to allow us to establish nonnegative local solutions to the evolution of the Cauchy problem (CP) of the nonlinear degenerate parabolic p-Laplacian process with conservation laws that are posed in one-dimensional space ...
Habeeb Aal-Rkhais, Ruba Qasim
doaj   +1 more source

Approximate general solution of degenerate parabolic equations related to population genetics

Electronic Journal of Differential Equations, 1995
degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj  

Controllability of 1-d coupled degenerate parabolic equations

Electronic Journal of Differential Equations, 2009
This article is devoted to the study of null controllability properties for two systems of coupled one dimensional degenerate parabolic equations.
Piermarco Cannarsa, Luz De Teresa
doaj  

The fundamental solution of Cauchy problem for a single equation of the diffusion equation with inertia

Karpatsʹkì Matematičnì Publìkacìï, 2014
The paper found the explicit form of the fundamental solution of  Cauchy problem for the equation of Kolmogorov type that has a finite number  groups of spatial variables which are degenerate parabolic.
H.P. Malytska, I.V. Burtnyak
doaj   +1 more source