Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
For two general second order parabolic equations in divergence form in Lip(1,1/2) cylinders, we give a criterion for the preservation of $L^p$ solvability of the Dirichlet problems.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
69-80
Opis fizyczny
Daty
wydano
2000
otrzymano
1998-11-10
Twórcy
autor
- Department of Mathematics, Ningbo University, Ningbo, Zhejiang, 315211, P.R. China., taoxing@pub.nb.zj.cninfo.net
Bibliografia
- [A] D. G. Aronson, Non-negative solutions of linear parabolic equations, Ann Scuola Norm. Sup. Pisa 22 (1968), 607-694.
- [Do] J. Doob, Classical Potential Theory and its Probabilistic Counterpart, Springer, 1984.
- [FGS] E. B. Fabes, N. Garofalo and S. Salsa, A backward Harnack inequality and Fatou theorems for nonnegative solutions of parabolic operators, Illinois J. Math. 30 (1986), 536-565.
- [FKP] R. A. Fefferman, C. E. Kenig and J. Pipher, The theory of weights and the Dirichlet problems for elliptic equations, Ann. of Math. 134 (1991), 65-124.
- [K] C. E. Kenig, Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems, CBMS, 1994.
- [L] N. L. Lim, The $L^p$ Dirichlet problem for divergence form elliptic operators with non-smooth coefficients, J. Funct. Anal. 138 (1996), 503-543.
- [Mu] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
- [M] J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101-134; correction, ibid. 20 (1967), 231-236.
- [N] K. Nyström, The Dirichlet problem for second order parabolic operators, Indiana Univ. Math. J. 46 (1997), 183-245.
- [St] E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Univ. Press, Princeton, NJ, 1993.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-smv139i1p69bwm