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theorem for equation P(D)u = ƒ with ƒ supported in infinite cyclinders', Communications in Partial Differential Equations, 21:5, 821 - 840 To link to this article: DOI: 10.1080/03605309608821209

COMMUN. IN PARTIAL DIFFERENTIAL EQUATIONS, 18(9&10), 1765-1794 (1993) AN EMBEDDING THEOREM AND THE HARNACK INEQUALITY FOR NONLINEAR SUBELLIPTIC EQUATIONS Luca Capogna Donatella Danielli and Nicola Garofalo* Department of Mathematics, Purdue University, West Lafayette, IN 47907 1. Introduction Let XI,. . .

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three-dimensional Navier–Stokes system of equations: u t −u +u ·u +p =f in (1) ·u=0in (2) u=0on (3) lim x→ utx =0 (4) u 0x =u 0 x in (5) Here, u=u 1 u 2 u 3 represents the unknown velocity vector field, and p is the unknown pressure scalar; where > 0, the constant kinematic viscosity, f, the body forcing term, and u 0, the initial velocity, are given.

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Stokes equations (NSE) (1)–(5) are equivalent to the functional differential equation (see, e.g., Constantin and Foias, 1988; Sohr, 2001; Temam, 1983, 2001) du dt +Au +Buu =f (8) u 0 =u 0 (9) where Buu =Pu ·u the nonlinear (bilinear) term. We say uis a Leray–Hopf weak solution to the system (8)–(9) if u satisfies (see, e.g., Constantin ...

The ISO4 abbreviation of Communications in Partial Differential Equations is Commun. Partial. Differ. Equ. . It is the standardised abbreviation to be used for ...

Communications in Partial Differential Equations considers the mathematical aspects of partial differential equations and applications, including the theory ...

Jun 15, 2021 · Communications in Partial Differential Equations, Volume 46, Issue 12 (2021) See all volumes and issues. Volume 46, 2021 Vol 45, 2020 Vol 44, 2019 Vol 43, 2018 Vol 42, 2017 Vol 41, 2016 Vol 40, 2015 Vol 39, 2014 Vol 38, 2013 Vol 37, 2012 Vol 36, 2010-2011 Vol 35, 2009-2010 Vol 34, 2009 Vol 33, 2008 Vol 32, 2007 Vol 31, 2006 Vol 30, 2005 Vol 29 ...

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15.06.2021 · Communications in Partial Differential Equations, Volume 46, Issue 12 (2021) See all volumes and issues. Volume 46, 2021 Vol 45, 2020 Vol 44, 2019 Vol 43, 2018 Vol 42, 2017 Vol 41, 2016 Vol 40, 2015 Vol 39, 2014 Vol 38, 2013 Vol 37, 2012 Vol 36, 2010-2011 Vol 35, 2009-2010 Vol 34, 2009 Vol 33, 2008 Vol 32, 2007 Vol 31, 2006 Vol 30, 2005 Vol 29 ...

Communications in Partial Differential Equations Publishes research on theoretical aspects of partial differential equations, as well as its applications to other areas of mathematics, physics, and engineering.

Scope. This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to ...

This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other ...

08.12.2021 · All journal articles featured in Communications in Partial Differential Equations vol 18 issue 1-2

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