Harmonic analysis and partial differential equations : proceedings of a conference held April 4-5, 1988
著者
書誌事項
Harmonic analysis and partial differential equations : proceedings of a conference held April 4-5, 1988
（Contemporary mathematics, 107）
American Mathematical Society, c1990
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注記
"The Conference on Harmonic Analysis and Partial Differential Equations was held at the Florida Atlantic University, Boca Raton, Florida on April 4-5, 1988" -- T.p. verso
Includes bibliographical references
内容説明・目次
内容説明
This book brings together ten papers presented at the Conference on Harmonic Analysis and Partial Differential Equations, held in April 1988 at Florida Atlantic University. The papers illuminate the relationship between harmonic analysis and partial differential equations and present results of some of the foremost experts in these areas.Among the topics covered are: application of fully nonlinear, uniformly elliptic equations to the Monge Ampere equation; estimates for Green functions for the purpose of studying Dirichlet problems for operators in non-divergence form; an extension of classical potential theory to the case of non smooth domains; the relation between Riesz potentials and maximal fractional operators due to Muckenhoupt and Wheeden; and the Lax-Phillips scattering theory applied to the double Hilbert transform. Directed at research mathematicians and graduate students, the papers require knowledge of the classical tools of analysis, such as measure theory, Sobolev spaces, and potential theory.
目次
Gradient estimates at the boundary for solutions to nondivergence elliptic equations by B. Barcelo, L. Escauriaza, and E. Fabes Interior regularity of solutions to Monge Ampere equations\ by L. A. Caffarelli The Helson-Szego theorem in $L^p$ of the bidimensional torus by M. Cotlar and C. Sadosky Galerkin methods for the boundary integral equations of elliptic equations in nonsmooth domains by B. E. Dahlberg and G. Verchota Some applications of Hardy spaces and BMO in harmonic analysis and partial differential equations by R. Fefferman The positive cone in Triebel-Lizorkin spaces and the relation among potential and maximal operators by B. Jawerth, C. Perez, and G. Wellland Changes of variable and $A_p$ weights by R. Johnson Progress on two problems posed by Riviere by C. E. Kenig Fredholm theory for periodic solutions of some semilinear P.D.E.s with homogeneous nonlinearities by A. C. Lazer and P. J. McKenna Stability of solitary waves by W. A. Strauss.
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