ESTIMATES OF SOLUTIONS OF PARABOLIC SYSTEMS IN WEIGHTED HÖLDER CLASSES AND SOME OF THEIR APPLICATIONS

1981 ◽  
Vol 38 (2) ◽  
pp. 151-173 ◽  
Author(s):  
V S Belonosov
Keyword(s):  
Parabolic Systems ◽  
Estimates Of Solutions ◽  
Hölder Classes ◽  
Holder Classes

scholarly journals NEW L1-GRADIENT TYPE ESTIMATES OF SOLUTIONS TO ONE-DIMENSIONAL QUASILINEAR PARABOLIC SYSTEMS

2010 ◽  
Vol 12 (01) ◽  
pp. 85-106 ◽  
Author(s):  
S. N. ANTONTSEV ◽  
J. I. DÍAZ
Keyword(s):  
Type Equation ◽  
Parabolic Type ◽  
Parabolic Systems ◽  
Diffusion Term ◽  
One Dimensional ◽  
First Order ◽  
Estimates Of Solutions ◽  
Gradient Type ◽  
Degenerate Type ◽  
Parabolic Type Equation

We consider a general class of one-dimensional parabolic systems, mainly coupled in the diffusion term, which, in fact, can be of the degenerate type. We derive some new L1-gradient type estimates for its solutions which are uniform in the sense that they do not depend on the coefficients nor on the size of the spatial domain. We also give some applications of such estimates to gas dynamics, filtration problems, a p-Laplacian parabolic type equation and some first order systems of Hamilton–Jacobi or conservation laws type.

Hölder Classes in Lavrent'ev Domains

2004 ◽  
Vol 120 (5) ◽  
pp. 1791-1802
Author(s):  
N. A. Shirokov
Keyword(s):  
Hölder Classes ◽  
Holder Classes

The reserse Hölder classes in martingale setting

2004 ◽  
Vol 9 (3) ◽  
pp. 273-277
Author(s):  
Zuo Hong-liang ◽  
Liu Pei-de
Keyword(s):  
Hölder Classes ◽  
Holder Classes

scholarly journals Improvement of smoothness of functions by bilinear operators, continuous by measure

2017 ◽  
Vol 25 ◽  
pp. 80
Author(s):  
A.M. Pas'ko
Keyword(s):  
Translation Invariant ◽  
Bilinear Operators ◽  
Hölder Classes ◽  
Holder Classes

The sequences of the translation invariant by the both arguments, continuous bilinear operators $T_n\colon L_1 \times L_1 \rightarrow L_0$ has been considered. The improvement of the smoothness of the functions belonging to the Lipschitz-Holder classes has been established.

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