@article{ASNSP_1998_4_27_1_1_0, author = {Han, Qing}, title = {On the {Schauder} estimates of solutions to parabolic equations}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {1--26}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 27}, number = {1}, year = {1998}, mrnumber = {1658901}, zbl = {0954.35034}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1998_4_27_1_1_0/} }
TY - JOUR AU - Han, Qing TI - On the Schauder estimates of solutions to parabolic equations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1998 SP - 1 EP - 26 VL - 27 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1998_4_27_1_1_0/ LA - en ID - ASNSP_1998_4_27_1_1_0 ER -
%0 Journal Article %A Han, Qing %T On the Schauder estimates of solutions to parabolic equations %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1998 %P 1-26 %V 27 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1998_4_27_1_1_0/ %G en %F ASNSP_1998_4_27_1_1_0
Han, Qing. On the Schauder estimates of solutions to parabolic equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 27 (1998) no. 1, pp. 1-26. http://www.numdam.org/item/ASNSP_1998_4_27_1_1_0/
[1] Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math. 12 (1959), 623-727; II, Comm. Pure Appl. Math. 17 (1964), 35-92. | MR | Zbl
- - ,[2] Local Behavior of solutions to parabolic equations, Comm. Partial Differential Equations 13 (9) (1988), 1041-1058. | MR | Zbl
- ,[3] Local behavior of solution of general linear elliptic equations, Comm. Pure Appl. Math. 8 (1955), 473-496. | MR | Zbl
,[4] Interior a priori estimates for solutions of fully nonlinear equations, Ann. of Math. 130 (1989), 189-213. | MR | Zbl
,[5] Equazioni paraboliche del secondo ordine e apazi L 2,θ (Ω, δ), Ann. Mat. Pura . Appl., 73 (1966), 55-102. | Zbl
,[6] Partial regularity of the Zero-set of solutions of linear and superlinear elliptic equations, J. Differential Equations 60 (1985), 420-433. | MR | Zbl
- ,[7] Singular integrals and partial differential equations of parabolic type, Studia Math. 28 (1966), 81-131. | MR | Zbl
,[8] Partial Differential Equations of Parabolic Type", Prentice-Hall, Englewood Cliffs, 1964. | MR | Zbl
, "[9] Monotonicity properties of variational integrals, Ap weights and unique continuation, Indiana Univ. Math J. 35 (1986), 245-267. | MR | Zbl
- ,[10] Elliptic Partial Differential Equations of Second Order", Second Edition, Springer, Berlin, 1983. | MR | Zbl
- , "[11] A priori estimate on asymptotic polynomials and its application, J. Geom. Analysis, to appear.
,[12] Nodal Sets of Solutions of Parabolic Equations, II, Comm. Pure Appl. Math. (1994), 1219-123 8. | MR | Zbl
- ,[13] A class of singular integrals, Amer. J. Math. 86 (1964), 441-462. | MR | Zbl
,[14] Nonlinear Elliptic and Parabolic Equations of Second Order", Mathematics and its Applications, 1985. | Zbl
, "[15] Nodal sets of solutions of elliptic and parabolic equations, Comm. Pure Appl. Math. 45 (1991), 287-308. | MR | Zbl
,[16] Linear and Quasilinear Parabolic Equations", Nauka, Moscow, 1967. English transl., AMS, Providence, 1968.
- - , "[17] Singular Integrals and the Differentiability Properties of Functions ", Princeton University Press, 1970. | MR | Zbl
, "[18] On the regularity theory offully nonlinear parabolic equations. I, Comm. Pure Appl. Math. 45 (1992), 27-76; II, Comm. Pure Appl. Math. 45 (1992), 141-178. | MR | Zbl
,[19] L2,μ (Q) estimates for parabolic equations and applications, J. Partial Differential Equations 10 (1997), 31-44. | Zbl
,