On the Schauder estimates of solutions to parabolic equations

Qing Han

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 27, Issue: 1, page 1-26
  • ISSN: 0391-173X

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Han, Qing. "On the Schauder estimates of solutions to parabolic equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 27.1 (1998): 1-26. <http://eudml.org/doc/84352>.

@article{Han1998,
author = {Han, Qing},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {comparing solutions with polynomials; a priori estimates via singular integral estimates},
language = {eng},
number = {1},
pages = {1-26},
publisher = {Scuola normale superiore},
title = {On the Schauder estimates of solutions to parabolic equations},
url = {http://eudml.org/doc/84352},
volume = {27},
year = {1998},
}

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
PB - Scuola normale superiore
VL - 27
IS - 1
SP - 1
EP - 26
LA - eng
KW - comparing solutions with polynomials; a priori estimates via singular integral estimates
UR - http://eudml.org/doc/84352
ER -

References

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  2. [2] G. Alessandrini - S. Vessella, Local Behavior of solutions to parabolic equations, Comm. Partial Differential Equations13 (9) (1988), 1041-1058. Zbl0649.35040MR946281
  3. [3] L. Bers, Local behavior of solution of general linear elliptic equations, Comm. Pure Appl. Math.8 (1955), 473-496. Zbl0066.08101MR75416
  4. [4] L.A. Caffarelli, Interior a priori estimates for solutions of fully nonlinear equations, Ann. of Math.130 (1989), 189-213. Zbl0692.35017MR1005611
  5. [5] S. Campanato, Equazioni paraboliche del secondo ordine e apazi L 2,θ (Ω, δ), Ann. Mat. Pura . Appl., 73 (1966), 55-102. Zbl0144.14101
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  10. [10] D. Gilbarg - N. Trudinger, "Elliptic Partial Differential Equations of Second Order", Second Edition, Springer, Berlin, 1983. Zbl0562.35001MR737190
  11. [11] Q. Han, A priori estimate on asymptotic polynomials and its application, J. Geom. Analysis, to appear. 
  12. [12] Q. Han - F.-H. Lin, Nodal Sets of Solutions of Parabolic Equations, II, Comm. Pure Appl. Math. (1994), 1219-1238. Zbl0807.35052MR1290401
  13. [13] B.F. Jones, JR., A class of singular integrals, Amer. J. Math.86 (1964), 441-462. Zbl0123.08501MR161099
  14. [14] N.V. Krylov, "Nonlinear Elliptic and Parabolic Equations of Second Order", Mathematics and its Applications, 1985. Zbl0619.35004
  15. [15] F.-H. Lin, Nodal sets of solutions of elliptic and parabolic equations, Comm. Pure Appl. Math.45 (1991), 287-308. Zbl0734.58045MR1090434
  16. [16] O.A. Ladyzhenskaya - V.A. Solonnikov - N.N. Ural'tseva, "Linear and Quasilinear Parabolic Equations", Nauka, Moscow, 1967. English transl., AMS, Providence, 1968. 
  17. [17] M. Stein, "Singular Integrals and the Differentiability Properties of Functions ", Princeton University Press, 1970. Zbl0207.13501MR290095
  18. [18] L. Wang, 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. Zbl0774.35042MR1135923
  19. [19] H. Yin, L2,μ (Q) estimates for parabolic equations and applications, J. Partial Differential Equations10 (1997), 31-44. Zbl0891.35021

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