UID:
almahu_9947362829002882
Format:
XIV, 220 p.
,
online resource.
ISBN:
9781461228981
Series Statement:
The IMA Volumes in Mathematics and its Applications, 42
Content:
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.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9781461277125
Language:
English
DOI:
10.1007/978-1-4612-2898-1
URL:
http://dx.doi.org/10.1007/978-1-4612-2898-1
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