Results 31 to 40 of about 1,519 (300)
We propose a simple but non-trivial mathematical model of a dam–reservoir system balancing between the downstream environmental management and hydropower production.
Hidekazu Yoshioka
doaj +1 more source
Optimal control for the degenerate elliptic logistic equation [PDF]
We consider the optimal control of the harvesting of the diffusive degenerate elliptic logistic equation. Under certain assumptions, we prove the existence and uniqueness of an optimal control.
Montero Sánchez, Juan Aurelio +2 more
core +1 more source
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto +12 more
wiley +1 more source
On Removable Sets for Degenerated Elliptic Equations
Under consideration is the Dirichlet problem for an elliptic equation \[ -\sum_{i,j=1}^{n}\partial_{x_{j}} a_{ij}(x)\partial_{x_{i}} u =f, \;\;x\in G\subset {\mathbb R}^{n}. \eqno{(1)} \] The corresponding quadratic form is degenerate in the sense that there exists a positive constant \(\gamma>0\) such that \[ \gamma\sum_{i=1}|\xi_{i}|^{2}\lambda_{i}(x)
Gadjiev, T.S., Bayramova, N.Q.
openaire +3 more sources
Uniform estimates for positive solutions of a class of semilinear elliptic equations and related Liouville and one-dimensional symmetry results [PDF]
We consider the semilinear elliptic equation $\Delta u = W'(u)$ with Dirichlet boundary conditions in a smooth, possibly unbounded, domain $\Omega \subset \mathbb{R}^n$. Under suitable assumptions on the potential $W$, including the double well potential
Sourdis, Christos
core
ABSTRACT Objective Facioscapulohumeral muscular dystrophy (FSHD) is one of the most debilitating and common muscular dystrophies. Despite its severity, no approved therapy exists for FSHD patients. However, several therapeutic candidates are currently under development, and some have recently entered clinical trials, marking the need for reliable ...
Mustafa Bilal Bayazit +11 more
wiley +1 more source
On the existence of weak optimal BV-controls in coefficients for linear elliptic problems
In this paper we study the optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. We adopt a weight coefficient in the main part of elliptic operator as control in BV(Ω).
I. G. Balanenko, P. I. Kogut
doaj +1 more source
This study presents an infrared monitoring approach for direct laser interference patterning (DLIP) combined with a convolutional neural network (CNN). Thermal emission data captured during structuring are used to predict surface topography parameters.
Lukas Olawsky +5 more
wiley +1 more source
This paper studies the existence and multiplicity of weak solutions to degenerate weighted quasilinear elliptic equations with nonlocal nonlinearities and variable exponents.
Khaled Kefi
doaj +1 more source
Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
doaj +1 more source

