Classical solutions of parabolic equations in Hölder spaces

Eugenio Sinestrari

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1983)

  • Volume: 75, Issue: 6, page 289-297
  • ISSN: 1120-6330

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Sinestrari, Eugenio. "Classical solutions of parabolic equations in Hölder spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 75.6 (1983): 289-297. <http://eudml.org/doc/287409>.

@article{Sinestrari1983,
author = {Sinestrari, Eugenio},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {linear abstract Cauchy problem; linear closed operator; bounded analytic semigroup; classical heat equation},
language = {eng},
month = {12},
number = {6},
pages = {289-297},
publisher = {Accademia Nazionale dei Lincei},
title = {Classical solutions of parabolic equations in Hölder spaces},
url = {http://eudml.org/doc/287409},
volume = {75},
year = {1983},
}

TY - JOUR
AU - Sinestrari, Eugenio
TI - Classical solutions of parabolic equations in Hölder spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/12//
PB - Accademia Nazionale dei Lincei
VL - 75
IS - 6
SP - 289
EP - 297
LA - eng
KW - linear abstract Cauchy problem; linear closed operator; bounded analytic semigroup; classical heat equation
UR - http://eudml.org/doc/287409
ER -

References

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  1. Butzer, P. and Berens, H. (1967) - Semigroups of operators and approximation, Springer, Berlin. Zbl0164.43702
  2. Kato, T. (1966) - Perturbation theory of linear operators, Springer, Berlin. Zbl0148.12601
  3. Ladyzenskaja, O.A., Solonnikov, V.A. and Uralceva, N.N. (1968) - Linear and quasilinear equations of parabolic type, «Am. Math. Soc.», Ann. Arbor. MR241822
  4. Lunardi, A. - Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations, «Math. Nachr.» (to appear). Zbl0568.47035MR809327DOI10.1002/mana.19851210120
  5. Sinestrari, E. e Vernole, P. (1977) - Semi—linear evolution equations in interpolation spaces, «Nonlin. Anal.», 1, 249-261. Zbl0357.34061MR637091
  6. Sinestrari, E. (1981) - On the solutions of the inhomogeneous evolution equation in Banach spaces, «Rend. Accad. Naz. Lincei», 70, 12-17. Zbl0507.47027
  7. Sinestrari, E. - On the abstract Cauchy problem of parabolic type in spaces of continuous functions, (to appear). Zbl0589.47042MR786012DOI10.1016/0022-247X(85)90353-1
  8. Stewart, B. (1977) - Generation of analytic semigroups by strongly elliptic operators. «Trans. Am. Math. Soc.», 199, 141-162. Zbl0264.35043MR358067

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