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Partial Differential Equations with Minimal Smoothness and Applications

B Dahlberg, Eugene Fabes, R Fefferman, David Jerison, Carlos Kenig (Herausgeber)

Buch | Hardcover

220 Seiten

1992 | 1992 ed.
Springer-Verlag New York Inc.
978-0-387-97774-4 (ISBN)

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In recent years there has been a great deal of activity in both the theoretical and applied aspects of partial differential equations, with emphasis on realistic engineering applications, which usually involve lack of smoothness. On March 21-25, 1990, the University of Chicago hosted a workshop that brought together approximately fortyfive experts in theoretical and applied aspects of these subjects. The workshop was a vehicle for summarizing the current status of research in these areas, and for defining new directions for future progress - this volume contains articles from participants of the workshop.

Weakly elliptic systems with obstacle constraints. Part I — a 2 × 2 model problem.- Some remarks on Widder’s theorem and uniqueness of isolated singularities for parabolic equations.- Generalized derivatives.- On null sets of P-harmonic measures.- Lifetime and heat kernel estimates in non-smooth domains.- On the Poisson kernel for nondivergence elliptic equations with continuous coefficients.- Some questions concerning harmonic measure.- The trace of the heat kernel in domains with nonsmooth boundaries.- A note on Lp estimates for parabolic systems in Lipschitz cylinders.- Intrinsic ultracontractivity and probability.- Uniqueness in the Dirichlet problem for time independent elliptic operators.- The spectral radius of the classical layer potentials on convex domains.- Unique continuation for degenerate elliptic equations.- Sharp estimates for harmonic measure in convex domains.- On the positive solutions of the free-boundary problem for Emden-Fowler type equations.- Absolute continuity of parabolic measure.- Some inequalities for the density of the area integral.- Restriction theorems and the Schrödinger multiplier on the torus.- Numerical analysis on non-smooth problems: Some examples.

Erscheint lt. Verlag	12.3.1992
Reihe/Serie	Lecture Notes in Statistics ; 42
Zusatzinfo	Bibliography
Verlagsort	New York, NY
Sprache	englisch
Gewicht	520 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Chemie
	Technik
Schlagworte	The IMA Volumes in Mathematics and Its Applications; v. 42
ISBN-10	0-387-97774-0 / 0387977740
ISBN-13	978-0-387-97774-4 / 9780387977744
Zustand	Neuware