Sobolev
Found 3 free book(s)
Notes on Partial Differential Equations
www.math.ucdavis.eduChapter 3. Sobolev spaces 47 3.1. Weak derivatives 47 3.2. Examples 48 3.3. Distributions 51 3.4. Properties of weak derivatives 53 3.5. Sobolev spaces 58 3.6. Approximation of Sobolev functions 59 3.7. Sobolev embedding: p<n 59 3.8. Sobolev embedding: p>n 68 3.9. Boundary values of Sobolev functions 71 3.10. Compactness results 73 n 75 ...
QUANTUM YANG–MILLS THEORY The Physics of Gauge Theory
www.claymath.orgAsymptotic freedom ensures a decisive regularity in the case when classical Sobolev inequalities are borderline. Surprisingly, the ideas from renormalization theory also apply in other areas of mathematics, including classic work on the convergence of Fourier series and recent progress on classical dynamical systems.
5050 Pilgrim Icon Program
www.kofc.orgfamed iconographer Alexandre Sobolev. In the image, St. Joseph stands with his eyes cast humbly down, but with a determined strength in his face. In his covered arm he bears the Child Jesus, whose own hand is raised, blessing the world. In his right arm, St. Joseph holds a flowering staff, a sign that he was chosen by God.