Straightening of a noncylindrical region and evolution equations

Antonio Bove; Bruno Franchi; Enrico Obrecht

Rendiconti del Seminario Matematico della Università di Padova (1984)

  • Volume: 71, page 209-216
  • ISSN: 0041-8994

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Bove, Antonio, Franchi, Bruno, and Obrecht, Enrico. "Straightening of a noncylindrical region and evolution equations." Rendiconti del Seminario Matematico della Università di Padova 71 (1984): 209-216. <http://eudml.org/doc/107934>.

@article{Bove1984,
author = {Bove, Antonio, Franchi, Bruno, Obrecht, Enrico},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {geometrical method; evolution equations; noncylindrical region; time- preserving diffeomorphism},
language = {eng},
pages = {209-216},
publisher = {Seminario Matematico of the University of Padua},
title = {Straightening of a noncylindrical region and evolution equations},
url = {http://eudml.org/doc/107934},
volume = {71},
year = {1984},
}

TY - JOUR
AU - Bove, Antonio
AU - Franchi, Bruno
AU - Obrecht, Enrico
TI - Straightening of a noncylindrical region and evolution equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1984
PB - Seminario Matematico of the University of Padua
VL - 71
SP - 209
EP - 216
LA - eng
KW - geometrical method; evolution equations; noncylindrical region; time- preserving diffeomorphism
UR - http://eudml.org/doc/107934
ER -

References

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  2. [2] P. Grisvard, Equations différentielles abstraites, Ann. Sci. Ec. Norm. Sup., (4), 2 (1969), pp. 311-395. Zbl0193.43502MR270209
  3. [3] M.W. Hirsch, Differential Topology, Springer, New York - Heidelberg- Berlin (1976). Zbl0356.57001MR448362
  4. [4] J. Kato, Mixed Problems of Hyperbolic Equations in a General Domain, Proc. Japan Acad., 47 (1971), pp. 67-70. Zbl0218.35058MR289948
  5. [5] H.O. Kreiss, Initial Boundary Value Problems for Hyperbolic Systems, Comm. Pure Appl. Math., 23 (1970), pp. 277-298. Zbl0193.06902MR437941
  6. [6] O.A. Ladyzenskaja - V.A. Solonnikov - N.N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Moscow (1967), Russian ; Engl. transl.: Amer. Math. Soc., Providence, R.I., (1968). MR241822
  7. [7] J.L. Lions - E. Magenes, Problèmes aux limites non homogènes et applications, vol. 2, Dunod, Paris (1968). Zbl0165.10801MR247244
  8. [8] J.B. Rauch - F.J. MasseyIII, Differentiability of Solutions to Hyperbolic Initial-Boundary Value Problems, Trans. Amer. Math. Soc., 189 (1974), pp. 303-318. Zbl0282.35014MR340832
  9. [9] V. Rohlin - D. Fuchs, A First Course in Topology. Geometrical Chapters, Nauka, Moscow (1977), Russian; French transl.: Mir, Moscow (1981). 
  10. [10] V.A. Solonnikov, On Boundary Value Problems for Linear Parabolic Systems of Differential Equations of General Form, Trudy Mat. Inst. im. Stekl., 83 (1965); Engl. transl.: Proc. Stekl. Inst. Math., 83 (1967), pp. 1-184. Zbl0164.12502MR211083
  11. [11] T. Miyakawa - Y. Teramoto, Existence and Periodicity of Weak Solutions of the Navier-Stokes Equations in a Time Dependent Domain, Hiroshima Math. J., 12 (1982), pp. 513-528. Zbl0526.35068MR676555
  12. [12] Y. Teramoto, On Asymptotic Behavior of Solutions for the Navier-Stokes Equations in a Time Dependent Domain, Math. Z., 186 (1984), pp. 29-40. Zbl0524.35087

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