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＜電子ブック＞
Partial Differential Equations with Minimal Smoothness and Applications / edited by B. Dahlberg, Eugene Fabes, R. Fefferman, David Jerison, Carlos Kenig, J. Pipher
(The IMA Volumes in Mathematics and its Applications. ISSN:21983224 ; 42)

版	1st ed. 1992.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	XIV, 220 p : online resource
著者標目	Dahlberg, B editor Fabes, Eugene editor Fefferman, R editor Jerison, David editor Kenig, Carlos editor Pipher, J editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Chemometrics LCSH:Computational intelligence FREE:Analysis FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical Applications in Chemistry FREE:Computational Intelligence
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-2898-1

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