An inverse backward problem for degenerate two-dimensional parabolic equation [PDF]
Opuscula Mathematica, 2020 This paper deals with the determination of an initial condition in the degenerate two-dimensional parabolic equation \[\partial_{t}u-\mathrm{div}\left(a(x,y)I_2\nabla u\right)=f,\quad (x,y)\in\Omega,\; t\in(0,T),\] where \(\Omega\) is an open, bounded ...
Khalid Atifi +2 more
doaj +1 more source
On the Cauchy Problem for a Degenerate Parabolic Equation
Zeitschrift für Analysis und ihre Anwendungen, 2001 Existence and uniqueness of global positive solutions to the degenerate parabolic problem u_t = f(u)\Delta u \ \ \mathrm {in} \ \ \mathbb R^n \times (0, \infty) u|_{t=0} = u–0 with
openaire +3 more sources
Melt Grafting of Geometry‐Tailored Voltage Stabilizers for High‐Performance Polypropylene Insulation
Advanced Functional Materials, EarlyView.A scalable one‐step melt grafting strategy is developed to enhance the dielectric properties of isotactic polypropylene by covalently incorporating thermally stable aromatic voltage stabilizers. This solvent‐free approach improves volume resistivity and DC breakdown strength through deep trap formation and charge localization, offering a sustainable ...
Nazirul Mubin bin Normansah +9 more
wiley +1 more source
On the Tonelli method for the degenerate parabolic Cauchy problem with functional argument [PDF]
Opuscula Mathematica, 2014 The degenerate parabolic Cauchy problem is considered. A functional argument in the equation is of the Hale type. As a limit of piecewise classical solutions we obtain a viscosity solution of the main problem. Presented method is an adaptation of Tonelli'
Krzysztof A. Topolski
doaj +1 more source
Role of Histidine‐Containing Peptoids in Accelerating the Kinetics of Calcite Growth
Advanced Functional Materials, EarlyView.Amphiphilic histidine‐containing peptoids mimic carbonic anhydrase (CA) to accelerate calcite step growth. In the presence of Zn2+, they promote the deprotonation of HCO3−, the desolvation of Ca2+, and the reorganization of interfacial hydration layers, thereby reducing the activation barrier for calcite growth.
Mingyi Zhang +5 more
wiley +1 more source
Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence
Nonlinear Analysis, 2007 This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori estimates.
K. Ait Hadi
doaj +1 more source
Regularity of a degenerate parabolic equation appearing in Vecer's unified pricing of Asian options
, 2015 Vecer derived a degenerate parabolic equation with a boundary condition characterizing the price of Asian options with generally sampled average. It is well understood that there exists a unique probabilistic solution to such a problem but it remained ...
Dong, Hongjie, Kim, Seick
core +1 more source
A trajectorial approach to entropy dissipation for degenerate parabolic equations [PDF]
, 2022 Donghan Kim, Lane Chun Yeung
openalex +1 more source
On some degenerate non-local parabolic equation associated with the fractional $p$-Laplacian [PDF]
, 2015 We consider a degenerate parabolic equation associated with the fractional $% p $-Laplace operator $\left( -\Delta \right) _{p}^{s}$\ ($p\geq 2$, $s\in \left( 0,1\right) $) and a monotone perturbation growing like $\left\vert s\right\vert ^{q-2}s,$ $q>p$
C. Gal, M. Warma
semanticscholar +1 more source
The cauchy problem of a degenerate parabolic equation
Monatshefte f�r Mathematik, 1977 This note is concerned with the existence of a weak solution for a degenerate Cauchy problem of parabolic type in then-dimensional spaceRn. The degenerate property is in the sense that the matrix (aij(t,x)) involved in the differential operator is not necessarily positive definite.
openaire +1 more source