scholarly journals Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

2021 ◽  
Author(s):  
Jehan Oh ◽  
Jihoon Ok
Keyword(s):  
Discontinuous Coefficients ◽  
Gradient Estimates ◽  
Parabolic Problems

scholarly journals Maximal regularity for elliptic operators with second-order discontinuous coefficients

2020 ◽  
Author(s):  
G. Metafune ◽  
L. Negro ◽  
C. Spina
Keyword(s):  
Elliptic Operator ◽  
Maximal Regularity ◽  
Discontinuous Coefficients ◽  
Elliptic Operators ◽  
Second Order ◽  
Parabolic Problems ◽  
Order Elliptic Operator

Abstract We prove maximal regularity for parabolic problems associated to the second-order elliptic operator $$\begin{aligned} L =\Delta +(a-1)\sum _{i,j=1}^N\frac{x_ix_j}{|x|^2}D_{ij}+c\frac{x}{|x|^2}\cdot \nabla -b|x|^{-2} \end{aligned}$$ L = Δ + ( a - 1 ) ∑ i , j = 1 N x i x j | x | 2 D ij + c x | x | 2 · ∇ - b | x | - 2 with $$a>0$$ a > 0 and $$b,\ c$$ b , c real coefficients.

scholarly journals Gradient estimates for Dirichlet parabolic problems in unbounded domains

2004 ◽  
Vol 205 (2) ◽  
pp. 329-353 ◽  
Author(s):  
S. Fornaro ◽  
G. Metafune ◽  
E. Priola
Keyword(s):  
Unbounded Domains ◽  
Gradient Estimates ◽  
Parabolic Problems
Sign in / Sign up

Export Citation Format

Share Document