MATH 559 - SPRING 2009
INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
BASIC INFORMATION
REFERENCES
- Boundary behavior of harmonic functions on nontangentially accessible
domains, Jerison-Kenig, Advances in Math. 46, 1982, 80-147
- Harmonic analysis techniques for second order elliptic boundary value
problems, Kenig, CBMA, 83, 1994.
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Harmonic measure on locally flat domains, Kenig-Toro, Duke Mathematical Journal
87, (1997), 509-551.
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Free boundary regularity for harmonic measures and Poisson kernels, Kenig-Toro,
Annals of Math. 150, 1999, 369-454.
- Monotonicity Properties of Variational Integrals, A_p weights adn Unique Continuation, N. Garofalo & F-H. Lin, Indiana Univ. Math. J. 35, 1986, 245-268.