Smooth Dependence on Initial Data of Mild Solutions to Evolution Equations

Giovanni Vidossich

Bollettino dell'Unione Matematica Italiana (2009)

  • Volume: 2, Issue: 3, page 731-754
  • ISSN: 0392-4041

How to cite

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Vidossich, Giovanni. "Smooth Dependence on Initial Data of Mild Solutions to Evolution Equations." Bollettino dell'Unione Matematica Italiana 2.3 (2009): 731-754. <http://eudml.org/doc/290577>.

@article{Vidossich2009,
author = {Vidossich, Giovanni},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {731-754},
publisher = {Unione Matematica Italiana},
title = {Smooth Dependence on Initial Data of Mild Solutions to Evolution Equations},
url = {http://eudml.org/doc/290577},
volume = {2},
year = {2009},
}

TY - JOUR
AU - Vidossich, Giovanni
TI - Smooth Dependence on Initial Data of Mild Solutions to Evolution Equations
JO - Bollettino dell'Unione Matematica Italiana
DA - 2009/10//
PB - Unione Matematica Italiana
VL - 2
IS - 3
SP - 731
EP - 754
LA - eng
UR - http://eudml.org/doc/290577
ER -

References

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  1. BECKER, R. I., Periodic solutions of semilinear equations of evolution of compact type, J. Math. Anal. Appl., 82 (1981), 33-48. Zbl0465.34014MR626739DOI10.1016/0022-247X(81)90223-7
  2. CASTRO, A. - LAZER, A. C., Results on periodic solutions of parabolic equations suggested by elliptic theory, Boll. U.M.I., 1-B (1982), 1089-1104. Zbl0501.35005MR683495
  3. CAZENAVE, T. - HARAUX, A., An Introduction to Semilinear Evolution Equations, Clarendon Press, Oxford, 1998. Zbl0926.35049MR1691574
  4. HIRSCH, M. W. - PUGH, C. C., Stable manifolds for hyperbolic sets, In: "Proc. Symp. Pure Math.", vol. XIV, Amer. Math. Society (Providence, 1970), 133-163. Zbl0215.53001MR271991
  5. PAZY, A., A class of semi-linear equations of evolution, Israel J. Math., 20 (1975), 23-36. Zbl0305.47022MR374996DOI10.1007/BF02756753
  6. SOTOMAYOR, J., Smooth dependence of solutions of differential equations on initial data: a simple proof, Bol. Soc. Brasil. Mat., 4 (1973), 55-59. Zbl0337.34005MR361238DOI10.1007/BF02584856
  7. TEMAM, R., Infinite-dimensional Dynamical Systems in Mechanics and Physics (Springer-Verlag, New York, 1988). Zbl0662.35001MR953967DOI10.1007/978-1-4684-0313-8
  8. VIDOSSICH, G., Continuous dependence for parabolic evolution equations, In: "Recent Trends in Differential Equations", R. P. Agarwal (ed.), World Scientific (Singapore, 1992), 559-568. Zbl0832.34058MR1180138
  9. VIDOSSICH, G., A (semi-encyclopedic) first course in ODEs, in a "never-ending" preparation since 1974. 
  10. WARD JR., J. R., Boundary value problems for differential equations in Banach space, J. Math. Anal. Appl., 70 (1979), 589-598. Zbl0438.34057MR543596DOI10.1016/0022-247X(79)90067-2

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