Results 281 to 290 of about 2,830 (310)

Cauchy’s Problem for Degenerate Quasilinear Parabolic Equations

Theory of Probability & Its Applications, 1964
In this paper we consider the differential properties of the solution to the Cauchy problem for the quasilinear parabolic equation \[ (1)\qquad \frac{{\partial v}}{{\partial t}} = \frac{1}{2}\sum\limits_{i,j = 1}^n {c_{ij} } (t,x,v)\frac{{\partial ^2 v}}{{\partial x_i \partial x_i }} + \sum\limits_{i = 1}^n {a_i } (t,x,v)\frac{{\partial v}}{{\partial ...
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Problems without Initial Conditions for Degenerating Parabolic Equations

Differential Equations, 1993
This article deals with problems for parabolic equations of the type \(a^ 2 u_ t = u_{xx} + cu_ x\) with boundary data \(u(0,t) = A \cos \omega t\). The main result is an existence and uniqueness theorem in the following cases: a) \(k=1\), \(c>1\), b ...
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Harnack's Inequality for Degenerate Parabolic Equations

Communications in Partial Differential Equations, 1991
(1991). Harnack's Inequality for Degenerate Parabolic Equations. Communications in Partial Differential Equations: Vol. 16, No. 4-5, pp. 745-770.
Cristian E. Gutiérrez, Richard L. Wheeden   +1 more
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Critical exponents of degenerate parabolic equations

1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Degenerate Parabolic and Elliptic Equations

1994
The region where the equation deteriorates is fixed for linear and semilinear degenerate equations. The cases usually discussed are that the degenerate region is on the boundary. The two approaches are often used. One is the barrier argument and another is introducing the weighted Sobolev spaces.
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Colloidal Self-Assembly Approaches to Smart Nanostructured Materials

Chemical Reviews, 2022
Zhiwei Li Li, Yadong Yin
exaly  

New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker, Nwamaka D Eneanya, Josef Coresh   +2 more
exaly  

Physics-informed machine learning

Nature Reviews Physics, 2021
George E Karniadakis, Ioannis G Kevrekidis, Lu Lu   +2 more
exaly  

Benchmarking the performance of all-solid-state lithium batteries

Nature Energy, 2020
Dominik A Weber, Raimund Koerver, André Weber   +2 more
exaly  

Rechargeable Alkali-Ion Battery Materials: Theory and Computation

Chemical Reviews, 2020
Anton Van der Ven, Zhi Deng, Swastika Banerjee   +2 more
exaly