Hölder-continuity of solutions for some Schrödinger equations

Giuseppe Di Fazio

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 79, page 173-183
  • ISSN: 0041-8994

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Di Fazio, Giuseppe. "Hölder-continuity of solutions for some Schrödinger equations." Rendiconti del Seminario Matematico della Università di Padova 79 (1988): 173-183. <http://eudml.org/doc/108093>.

@article{DiFazio1988,
author = {Di Fazio, Giuseppe},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Schrödinger equation; potential; Morrey space; Local Hölder- continuity},
language = {eng},
pages = {173-183},
publisher = {Seminario Matematico of the University of Padua},
title = {Hölder-continuity of solutions for some Schrödinger equations},
url = {http://eudml.org/doc/108093},
volume = {79},
year = {1988},
}

TY - JOUR
AU - Di Fazio, Giuseppe
TI - Hölder-continuity of solutions for some Schrödinger equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 79
SP - 173
EP - 183
LA - eng
KW - Schrödinger equation; potential; Morrey space; Local Hölder- continuity
UR - http://eudml.org/doc/108093
ER -

References

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  1. [A-S] M. Aizenman - B. Simon, Brownian motion and Harnack's inequality for Schrödinger operators, Comm. Pure and Appl. Math., 35 (1982), pp. 209-271. Zbl0459.60069MR644024
  2. [C-F-G] F. Chiarenza - E. Fabes - N. Garofalo, Harnack's inequality for Schrödinger operators and the continuity of solutions, Proc. A.M.S., 98 (1986), pp. 415-425. Zbl0626.35022MR857933
  3. [C-F-Z] M. Cranston - E. Fabes - Z. Zhao, Potential theory for the Schrödinger equation, Bull. A.M.S., 15 (1986), pp. 213-216. Zbl0613.60068MR854557
  4. [D-M] G. Dal Maso - U. Mosco, Wiener criteria and energy decay for relaxed Dirichlet problems, preprint. Zbl0634.35033
  5. [G-T] D. Gilbarg - N. Trudinger, Elliptic Partial Differential Equation of Second Order (2nd edition), Springer-Verlag (1983). Zbl0562.35001MR737190
  6. [L-S-W] W. Littman - G. Stampacchia - H.F. Weinberger, Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. di Pisa, S. III, 17 (1963), pp. 45-79. Zbl0116.30302MR161019
  7. [L-U] O.A. Ladizhenskaia - N. Uraltzeva, Linear and quasilinear elliptic equations, Academic Press (1968). Zbl0164.13002MR244627
  8. [P1] L.C. Piccinini, Proprietà di inclusione e interpolazione tra spazi di Morrey e loro generalizzazioni (Tesi di perfezionamento), Pisa (1969). 
  9. [P2] L.C. Piccinini, Inclusioni tra spazi di Morrey, Boll. U.M.I., 2 (1969), pp. 95-99. Zbl0181.13403MR244759
  10. [S] M. Schechter, Spectra of partial differential operators, North-Holland (1971). Zbl0225.35001MR869254
  11. [ST] G. Stampacchia, Équations elliptiques du second ordre à coefficients discontinus, Les Presses de l'Université de Montréal (1965). Zbl0151.15501MR251373

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