Generation of analytic semigroups by elliptic operators of second order in Hölder spaces

Sergio Campanato

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1981)

  • Volume: 8, Issue: 3, page 495-512
  • ISSN: 0391-173X

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Campanato, Sergio. "Generation of analytic semigroups by elliptic operators of second order in Hölder spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 8.3 (1981): 495-512. <http://eudml.org/doc/83867>.

@article{Campanato1981,
author = {Campanato, Sergio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {generation of analytic semigroups; elliptic operators of second order; Hölder spaces; Dirichlet problem; regularity result; Neumann problem},
language = {eng},
number = {3},
pages = {495-512},
publisher = {Scuola normale superiore},
title = {Generation of analytic semigroups by elliptic operators of second order in Hölder spaces},
url = {http://eudml.org/doc/83867},
volume = {8},
year = {1981},
}

TY - JOUR
AU - Campanato, Sergio
TI - Generation of analytic semigroups by elliptic operators of second order in Hölder spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1981
PB - Scuola normale superiore
VL - 8
IS - 3
SP - 495
EP - 512
LA - eng
KW - generation of analytic semigroups; elliptic operators of second order; Hölder spaces; Dirichlet problem; regularity result; Neumann problem
UR - http://eudml.org/doc/83867
ER -

References

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  1. [1] S. Agmon, Lectures on elliptic boundary value problem, Van Nostrand, Princeton, N. J., (1965). Zbl0142.37401MR178246
  2. [2] S. Agmon, On the eingenfunctions and on the eingenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math., 15 (1962), pp. 119-147. Zbl0109.32701MR147774
  3. [3] F.E. Browder, On the spectral theory of elliptic differential operators I, Math. Ann., 142 (1960/61), pp. 22-130. Zbl0104.07502MR209909
  4. [4] S. Campanato, Proprietà di hölderianità di alcune classi di funzioni, Ann. Scuola Norm. Sup. Pisa, 17 (1963), pp. 175-188. Zbl0121.29201MR156188
  5. [5] S. Campanato, Equazioni ellittiche del II° ordine e spazi L2,λ, Ann. Mat. Pura Appl., 68 (1965), pp. 321-382. Zbl0145.36603
  6. [6] S. Campanato, Equazioni ellittiche non variazionali a coefficienti continui, Ann. Mat. Pura Appl., 86 (1970), pp. 125-154. Zbl0204.11701MR277881
  7. [7] S. Campanato, Sistemi ellittici in forma divergenza. Regolarità all'interno, Quaderni Scuola Norm. Sup. Pisa, 1980. Zbl0453.35026MR668196
  8. [8] K. Masuda, Manuscript for seminar at Kyoto Univ., (1970). 
  9. [9] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators, Trans. Amer. Math. Soc., 199 (1974), pp. 141-162. Zbl0264.35043MR358067
  10. [10] H.B. Stewart, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Amer. Math. Soc., 259 (1980), pp. 299-310. Zbl0451.35033MR561838
  11. [11] W. Von Wahl, Gebrochene potenzen eines elliptischen operators and parabolische differentialgleichungen in räumen hölderstetiger functionen, Nachr. Akad. Wiss. Göttingen Math. Phys. Kl., 11 (1972), pp. 231-258. Zbl0251.35052
  12. [12] W. Von Wahl, Einige bemerkungen zu meiner arbeit « Gebrochene potenzen eines elliptischen operators und parabolische differentialgleichungen in räumen holderstetiger funktionen », Manuseripta Math., 11 (1974), pp. 199-201. Zbl0285.35039MR340821

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