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TitlePartial Differential Equations with Minimal Smoothness and Applications [electronic resource] / edited by B. Dahlberg, R. Fefferman, Carlos Kenig, Eugene Fabes, David Jerison, J. Pipher
ImprintNew York, NY : Springer New York, 1992
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Descript XIV, 220 p. online resource


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 โ{128}{148} a 2 ร{151} 2 model problem -- Some remarks on Widderโ{128}{153}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 Schrรถdinger multiplier on the torus -- Numerical analysis on non-smooth problems: Some examples

Mathematics Chemometrics Mathematical analysis Analysis (Mathematics) Computer mathematics Computational intelligence Mathematics Analysis Computational Mathematics and Numerical Analysis Math. Applications in Chemistry Computational Intelligence


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