Results 71 to 80 of about 618,259 (179)

Some a priori estimates for a critical Schrodinger-Newton equation

Electronic Journal of Differential Equations, 2012
Under natural energy and decay assumptions, we derive a priori estimates for solutions of a Schrodinger-Newton type of equation with critical exponent. On one hand, such an equation generalizes the traditional Schrodinger-Newton and Choquard equations, while, on the other hand, it is naturally related to problems involving scalar curvature and ...
openaire   +4 more sources

A regularity result for incompressible elastodynamics equations in the ALE coordinates

Advanced Nonlinear Studies
We consider incompressible inviscid elastodynamics equations with a free surface and establish regularity of solutions for these equations. Compared with previous result on this free boundary problem [X. Gu and F.
Xie Binqiang
doaj   +1 more source

A priori and a posteriori estimates for solving one evolutionary inverse problem

Учёные записки Казанского университета: Серия Физико-математические науки
This article considers an initial-boundary value problem for a system of parabolic equations, which arises when studying the flow of a binary mixture in a horizontal channel with walls heated non-uniformly.
V. K. Andreev, I. V. Stepanova
doaj   +1 more source

The (n-1)-radial symmetric positive classical solution for elliptic equations with gradient

Electronic Journal of Differential Equations, 2013
In this article, we study the existence of the $(n-1)$-radial symmetric positive classical solution for elliptic equations with gradient. By some special techniques in two variables, we show a priori estimates, and then show the existence of a ...
Yong Zhang, Qiang Xu, Peihao Zhao
doaj  

On the mathematical model of the concentration of pollutants and their impact on the population of the river

Results in Applied Mathematics
To study the influence of environmental pollutants on the dynamics of river populations, we present a process-oriented model that elucidates the interplay between a population and toxic substances in a flowing environment.
J.O. Takhirov, M.I. Boborakhimova
doaj   +1 more source

Sufficient conditions for nonexistence of gradient blow-up for nonlinear parabolic equations

Electronic Journal of Differential Equations, 2007
In this paper we study the initial-boundary value problems for nonlinear parabolic equations without Bernstein-Nagumo condition. Sufficient conditions guaranteeing the nonexistence of gradient blow-up are formulated.
Aris S. Tersenov
doaj  

Estimations a priori de quelques opérateursDifférentiels

, 2022
The aim of our work is to provide a priori estimates of different types of Beam-likeoperator.
openaire   +1 more source

A Priori Generalizability Estimate for a CNN

We formulate truncated singular value decompositions of entire convolutional neural networks. We demonstrate the computed left and right singular vectors are useful in identifying which images the convolutional neural network is likely to perform poorly on.
Balsells, Cito, Riviere, Beatrice, Fuentes, David   +2 more
openaire   +2 more sources

Cauchy problems for chemotaxis systems with chemo attractant and repellent

Electronic Journal of Differential Equations, 2022
Aesha Lagha, Harumi Hattori
doaj  

Enhancing Estimation of Fine Particulate Matter Chemical Composition across North America by Including Geophysical <i>A Priori</i> Information in Deep Learning with Uncertainty Quantification. [PDF]

ACS EST Air
Shen S, van Donkelaar A, Jacobs N, Li C, Martin RV.   +4 more
europepmc   +1 more source