scholarly journals Correction to: An elliptic regularity theorem for fractional partial differential operators

2018 ◽  
Vol 37 (4) ◽  
pp. 5554-5554
Author(s):  
Arran Fernandez
Keyword(s):  
Differential Operators ◽  
Regularity Theorem ◽  
Partial Differential ◽  
Elliptic Regularity ◽  
Partial Differential Operators

The Calder´on-Zygmund Theory I: Ellipticity

2017 ◽  
Author(s):  
Brian Street
Keyword(s):  
Classical Theory ◽  
Singular Integral ◽  
Singular Integrals ◽  
Differential Operators ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Single Parameter ◽  
Partial Differential ◽  
Translation Invariant ◽  
Partial Differential Operators

This chapter discusses a case for single-parameter singular integral operators, where ρ‎ is the usual distance on ℝn. There, we obtain the most classical theory of singular integrals, which is useful for studying elliptic partial differential operators. The chapter defines singular integral operators in three equivalent ways. This trichotomy can be seen three times, in increasing generality: Theorems 1.1.23, 1.1.26, and 1.2.10. This trichotomy is developed even when the operators are not translation invariant (many authors discuss such ideas only for translation invariant, or nearly translation invariant operators). It also presents these ideas in a slightly different way than is usual, which helps to motivate later results and definitions.

Partial Differential Operators with Multiple Symplectic Characteristics

2001 ◽  
pp. 293-297
Author(s):  
Luigi Rodino ◽  
Maria Mascarello ◽  
Nguyen Minh Tri
Keyword(s):  
Differential Operators ◽  
Partial Differential ◽  
Partial Differential Operators
Sign in / Sign up

Export Citation Format

Share Document