Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in n

Alessandra Lunardi

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 24, Issue: 1, page 133-164
  • ISSN: 0391-173X

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Lunardi, Alessandra. "Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in $\mathbb {R}^n$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 24.1 (1997): 133-164. <http://eudml.org/doc/84251>.

@article{Lunardi1997,
author = {Lunardi, Alessandra},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {subelliptic operator; hypoelliptic second-order operators; Hölder type space},
language = {eng},
number = {1},
pages = {133-164},
publisher = {Scuola normale superiore},
title = {Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in $\mathbb \{R\}^n$},
url = {http://eudml.org/doc/84251},
volume = {24},
year = {1997},
}

TY - JOUR
AU - Lunardi, Alessandra
TI - Schauder estimates for a class of degenerate elliptic and parabolic operators with unbounded coefficients in $\mathbb {R}^n$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 24
IS - 1
SP - 133
EP - 164
LA - eng
KW - subelliptic operator; hypoelliptic second-order operators; Hölder type space
UR - http://eudml.org/doc/84251
ER -

References

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  2. [2] S. Cerrai, Elliptic and parabolic equations in Rn with coefficient having polynomial growth, Comm. Partial Differential Equations21 (1996), 281-317. Zbl0851.35049MR1373775
  3. [3] S. Cerrai - F. Gozzi, Strong solutions of Cauchy problems associated to weakly continuous semigroup, Differential Integral Equations8 (1994), 465-486. Zbl0822.47040MR1306569
  4. [4] G. Da Prato - A. Lunardi, On the Ornstein- Uhlenbeck operator in spaces of continuous functions, J. Funct. Anal.131 (1995), 94-114. Zbl0846.47004MR1343161
  5. [5] L. Hörmander, Hypoelliptic differential equations of second order, Acta Math. 119 (1967), 147-171. Zbl0156.10701MR222474
  6. [6] A.N. Kolmogorov, Zufällige Bewegungen, Annals. of Math. 116, 2, 35 (1934), 116-117. JFM60.1159.01
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  8. [8] A. Lunardi, Analytic Semigroups and Optimal Regularity in Parabolic Problems, Birkhäuser Verlag, Basel, 1995. Zbl0816.35001MR1329547
  9. [9] A. Lunardi, An interpolation method to characterize domains of generators of semigroups, Semigroup Forum53 (1996), 321-329. Zbl0859.47030MR1406778
  10. [10] A. Lunardi - V. Vespri, Optimal L∞ and Schauder estimates for elliptic and parabolic operators with unbounded coefficients, Proceedings of the conference "Reaction-Diffusion Systems", Trieste1995 (to appear). Zbl0887.47034
  11. [11] M. Manfredini, Stime a priori e problema al contorno per una classe di operatori ultraparabolici, PHD thesis, Univ. Bologna (1995). 
  12. [12] T. Seidman, How Violent Are Fast Controls?, Math. Control Signals Systems1 (1988), 89-95. Zbl0663.49018MR923278
  13. [13] M.H. Taibleson, On the theory of Lipschitz spaces of distributions on euclidean n-space, I, J. Math. Mech.13 (1964), 407-479. Zbl0132.09402MR163159
  14. [14] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, 1978. Zbl0387.46032MR503903
  15. [15] J. Zabzcyk, Mathematical Control Theory: An Introduction, Birkhäuser Verlag, Boston, 1992. Zbl1071.93500

Citations in EuDML Documents

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  1. Marinella Lombardi, Su alcune equazioni differenziali astratte di tipo degenere
  2. Giorgio Metafune, Diego Pallara, Discreteness of the spectrum for some differential operators with unbounded coefficients in R n
  3. George Avalos, Irena Lasiecka, Optimal blowup rates for the minimal energy null control of the strongly damped abstract wave equation
  4. Enrico Priola, A counterexample to Schauder estimates for elliptic operators with unbounded coefficients
  5. Luca Lorenzi, Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in N
  6. Giorgio Metafune, L p -spectrum of Ornstein-Uhlenbeck operators
  7. Alessandra Lunardi, On optimal L p regularity in evolution equations

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