Cauchy problem for some semilinear evolution equations

Rossella Agliardi

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 2, page 189-197
  • ISSN: 0139-9918

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Agliardi, Rossella. "Cauchy problem for some semilinear evolution equations." Mathematica Slovaca 53.2 (2003): 189-197. <http://eudml.org/doc/31679>.

@article{Agliardi2003,
author = {Agliardi, Rossella},
journal = {Mathematica Slovaca},
keywords = {-evolution equation; energy estimate; Sobolev space; hyperbolic and Schrödinger equations},
language = {eng},
number = {2},
pages = {189-197},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Cauchy problem for some semilinear evolution equations},
url = {http://eudml.org/doc/31679},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Agliardi, Rossella
TI - Cauchy problem for some semilinear evolution equations
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 2
SP - 189
EP - 197
LA - eng
KW - -evolution equation; energy estimate; Sobolev space; hyperbolic and Schrödinger equations
UR - http://eudml.org/doc/31679
ER -

References

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  1. AGLIARDI R., Cauchy problem for non-kowalewskian equations, Internat. J. Math. 6 (1995), 791-804. (1995) MR1353995
  2. AGLIARDI R., Cauchy problem for evolution equations of Schrodinger type, J. Differential Equations 180 (2002), 89-98. MR1890599
  3. DIONNE P., Sur les problémes de Cauchy hyperboliques bien posés, J. Anal. Math. 10 (1962), 1-90. (1962) Zbl0112.32301MR0150475
  4. IVRII V. YA.-PETKOV V. M., Necessary conditions for the Cauchy problem for non strictly hyperbolic equations to be well posed, Uspekhi Mat. Nauk. 29 (1974), 3-70. (1974) Zbl0312.35049MR0427843
  5. LEVI E. E., Caratteristiche multiple e problema di Cauchy, Ann. Mat. Pura Appl. (4) 16 (1909), 161-201. (1909) 
  6. MIZOHATA S., Lectures on Cauchy Problem, Tata Inst. of Fund. Research Lectures on Mathematics and Physics. Mathematics. Vol. 35, Tata Inst, of Fund. Research, Bombay, 1965. (1965) Zbl0176.08502MR0219881
  7. MIZOHATA S.-OHYA Y., Sur la condition de E. E. Levi concernent des equations hyperboliques, Publ. Res. Inst. Math. Sci. 4 (1968), 511-526. (1968) MR0276606
  8. MOSER J., A rapidly convergent interaction method and non-linear partial differential equations, Ann. Scuola Norm. Sup. Pisa CI. Sci. (4) 20 (1966), 256-315. (1966) 
  9. TAKEUCHI J., A necessary condition for the well-posedness of the Cauchy problem for a certain class of evolution equations, Proc. Japan. Acad. 50 (1974), 133-137. (1974) Zbl0308.35061MR0367491
  10. TAKEUCHI J., Some remarks on my paper "On the Cauchy problem for some non-kowalewskian equations with distinct characteristic roots", J. Math. Kyoto Univ. 24 (1984), 741-754. (1984) Zbl0572.35020MR0775984
  11. TAKEUCHI J., Le Probleme de Cauchy pour Certaines Equations aux Derivees Partielles du Type de Schrodinger, These de Doctorat de l'Universite Paris 6, 1995. (1995) 

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