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JOURNALS // Algebra i Analiz

Algebra i Analiz, 2001, Volume 13, Issue 4, Pages 1–25 (Mi aa948)

On the Caiderón–Zygmund theorem with applications to parabolic equations
N. V. Krylov

This publication is cited in the following articles:
  1. Stinga P.R., Torrea J.L., “Holder, Sobolev, Weak-Type and Bmo Estimates in Mixed-Norm With Weights For Parabolic Equations”, Sci. China-Math., 64:1 (2021), UNSP 63, 129–154  crossref  mathscinet  isi
  2. Kim K.-H., Park D., Ryu J., “An l-Q(l-P)-Theory For Diffusion Equations With Space-Time Nonlocal Operators”, J. Differ. Equ., 287 (2021), 376–427  crossref  mathscinet  isi
  3. Kim K.-H., Lee K., Seo J., “A Weighted Sobolev Regularity Theory of the Parabolic Equations With Measurable Coefficients on Conic Domains in R-D”, J. Differ. Equ., 291 (2021), 154–194  crossref  mathscinet  isi
  4. St. Petersburg Math. J., 32:3 (2021), 389–413  mathnet  crossref
  5. Fan H., Ma T., “Parabolic Equations Involving Laguerre Operators and Weighted Mixed-Norm Estimates”, Commun. Pure Appl. Anal, 19:12 (2020), 5487–5508  crossref  mathscinet  isi  scopus
  6. Betancor J.J., De Leon-Contreras M., “Parabolic Equations Involving Bessel Operators and Singular Integrals”, Integr. Equ. Oper. Theory, 90:2 (2018), UNSP 18  crossref  mathscinet  isi  scopus
  7. Pawlow I., Zajaczkowski W.M., “Three-Dimensional Thermo-Visco-Elasticity With the Einstein-Debye (Theta(3) + Theta)-Law For the Specific Heat. Global Regular Solvability”, Topol. Methods Nonlinear Anal., 52:1 (2018), 161–193  crossref  mathscinet  isi  scopus
  8. Pawlow I., Zajaczkowski W.M., “Global regular solutions to three-dimensional thermo-visco-elasticity with nonlinear temperature-dependent specific heat”, Commun. Pure Appl. Anal, 16:4 (2017), 1331–1371  crossref  mathscinet  zmath  isi  scopus
  9. Ping L., Stinga P.R., Torrea J.L., “On weighted mixed-norm Sobolev estimates for some basic parabolic equations”, Commun. Pure Appl. Anal, 16:3 (2017), 855–882  crossref  mathscinet  zmath  isi  scopus
  10. Kim I., Kim K.-H., Lim S., “An l-Q(l-P)-Theory For the Time Fractional Evolution Equations With Variable Coefficients”, Adv. Math., 306 (2017), 123–176  crossref  mathscinet  zmath  isi  elib  scopus
  11. Kozlov V., Nazarov A., “Oblique Derivative Problem For Non-Divergence Parabolic Equations With Time-Discontinuous Coefficients in a Wedge”, J. Math. Anal. Appl., 435:1 (2016), 210–228  crossref  mathscinet  zmath  isi  elib  scopus
  12. Gawinecki J.A., Zajaczkowski W.M., “Global regular solutions to two-dimensional thermoviscoelasticity”, Commun. Pure Appl. Anal, 15:3 (2016), 1009–1028  crossref  mathscinet  zmath  isi  scopus
  13. Zajaczkowski W.M., “Stability of two-dimensional solutions to the Navier–Stokes equations in cylindrical domains under Navier boundary conditions”, J. Math. Anal. Appl., 444:1 (2016), 275–297  crossref  mathscinet  zmath  isi  scopus
  14. Kim I., Lim S., Kim K.-H., “An L q (L p )-Theory for Parabolic Pseudo-Differential Equations: Calderón-Zygmund Approach”, Potential Anal., 45:3 (2016), 463–483  crossref  mathscinet  zmath  isi  scopus
  15. Kim I., Kim K.-H., Lim S., “Parabolic Bmo Estimates For Pseudo-Differential Operators of Arbitrary Order”, J. Math. Anal. Appl., 427:2 (2015), 557–580  crossref  mathscinet  zmath  isi  scopus
  16. Kozlov V., Nazarov A., “The Dirichlet Problem For Non-Divergence Parabolic Equations With Discontinuous in Time Coefficients in a Wedge”, Math. Nachr., 287:10 (2014), 1142–1165  crossref  mathscinet  zmath  isi  elib  scopus
  17. Zvyagin V.G., Orlov V.P., “On Certain Mathematical Models in Continuum Thermomechanics”, J. Fixed Point Theory Appl., 15:1 (2014), 3–47  crossref  mathscinet  zmath  isi  elib  scopus
  18. Pawlow I., Zajaczkowski W.M., “Global Regular Solutions to a Kelvin-Voigt Type Thermoviscoelastic System”, SIAM J. Math. Anal., 45:4 (2013), 1997–2045  crossref  mathscinet  zmath  isi  scopus
  19. Gawinecki J.A., Zajaczkowski W.M., “Global Existence of Solutions to the Nonlinear Thermoviscoelasticity System with Small Data”, Topol. Methods Nonlinear Anal., 39:2 (2012), 263–284  mathscinet  zmath  isi
  20. Kozlov, V, “The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients”, Mathematische Nachrichten, 282:9 (2009), 1220  crossref  mathscinet  zmath  isi  elib  scopus
  21. Lee, K, “On a deterministic linear partial differential system”, Journal of Mathematical Analysis and Applications, 353:1 (2009), 24  crossref  mathscinet  zmath  isi  scopus
  22. Chen Ch.-Ch., Strain R.M., Yau H.-T., Tsai T.-P., “Lower Bound on the Blow–up Rate of the Axisymmetric Navier–Stokes Equations”, International Mathematics Research Notices, 2008, rnn016  mathscinet  zmath  isi  elib
  23. Weidemaier, P, “Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed L-p-norm”, Electronic Research Announcements of the American Mathematical Society, 8 (2002), 47  crossref  mathscinet  zmath  isi  scopus
  24. Krylov, NV, “The Calderon-Zygmund Theorem and Parabolic Equations in L-p (R, C2+alpha)-Spaces”, Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze, 1:4 (2002), 799  mathscinet  zmath  isi


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