Difference between revisions of "Functional Analysis"

Revision as of 17:01, 10 June 2008

Distribution theory
- Test functions and distributions
- Schwartz class and tempered distributions
- Operations on distributions
Imbedding theorems
Compact imbeddings
- Poincaré inequalities
- Rellich-Kondrachov theorem
Morrey's theorem
Caccioppoli inequality
John-Nirenberg inequality
Calderón-Zygmund inequality
Trace theorem
Marcinkiewicz interpolation theorem

@@ Line 1: / Line 1: @@
 == Chris Grant's Proposed Core Topics List for Some Functional Analysis Courses ==
-=== Nonlinear Analysis ===
-<div style="-moz-column-count:2; column-count:2;">
-#  Variational problems
-#* Euler-Lagrange equations
-#* Abstract Dirichlet principle
-#* Mazur’s lemma
-#* Tonelli’s theorem
-#* Mountain pass theorem
-#  Fixed-point problems
-#* Contraction mapping principle
-#* Inverse function theorem
-#* Implicit function theorem
-#* Brouwer fixed-point theorem
-#* Schauder fixed-point theorem
-#* Schaefer’s fixed-point theorem
-#* Leray-Schauder fixed-point theorem
-#* Browder-Minty fixed-point theorem
-</div>
 === Function Spaces ===