Parabolic by Shilov systems with variable coefficients

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منابع مشابه

Shilov Parabolic Systems

AMS Mathematics Subject Classification (2000): 47D06, 47D60, 47D62

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We consider second order parabolic and elliptic systems with leading coefficients having the property of vanishing mean oscillation (VMO) in the spatial variables. An Lq −Lp theory is established for systems both in divergence and non-divergence form. Higher order parabolic and elliptic systems are also discussed briefly.

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(1.1) ‖u− v‖Wk p (ω) 6 Ch ‖u‖W s p (Ω), s > k, are of great interest (see [6, 13]). Here u = u(x) denotes the solution of the BVP, v denotes the solution of the corresponding FDS, h is the discretization parameter, W k p (ω) is the Sobolev space of mesh functions, and C is a positive generic constant, independent of h and u. In the parabolic case, instead of (1.1) it is natural to look for erro...

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ژورنال

عنوان ژورنال: Carpathian Mathematical Publications

سال: 2018

ISSN: 2313-0210,2075-9827

DOI: 10.15330/cmp.9.2.145-153