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Semi-groupes et problèmes aux limites

K. Taira

Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981)

  • page 1-17

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Taira, K.. "Semi-groupes et problèmes aux limites." Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981): 1-17. <http://eudml.org/doc/111777>.

@article{Taira1980-1981,
author = {Taira, K.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {Ventcel boundary; Feller semigroups},
language = {fre},
pages = {1-17},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Semi-groupes et problèmes aux limites},
url = {http://eudml.org/doc/111777},
year = {1980-1981},
}

TY - JOUR
AU - Taira, K.
TI - Semi-groupes et problèmes aux limites
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 17
LA - fre
KW - Ventcel boundary; Feller semigroups
UR - http://eudml.org/doc/111777
ER -

References

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  1. [1] S. Agmon: Lectures on elliptic boùndary value problems, Van Nostrand, Princeton, 1965. Zbl0142.37401MR178246
  2. [2] J.M. Bony, P. Courrège et P. Priouret: Semi-groupes de Feller sur une variété à bord compacte et problèmes aux limites intégrodifférentiels du second ordre donnant lieu au principe maximum, Ann. Inst. Fourier (Grenoble) 18 (1968), 369-521. Zbl0181.11704MR245085
  3. [3] W.L. Chow: Uber Systeme von linearen partiellen Differentialgleichungen erster Ordnung, Math. Ann.117 (1938), 98-105. Zbl65.0398.01MR1880JFM65.0398.01
  4. [4] E.B. Dynkin: Markov processes, vols. I, II, Springer-Verlag, Berlin, 1965. Zbl0132.37901MR193671
  5. [5] L. Hörmander: Linear partial differential operators, Springer-Verlag, Berlin, 1963. Zbl0108.09301MR404822
  6. [6] L. Hörmander: Pseudo-differential operators and non-elliptic boundary problems, Ann. of Math.83 (1966), 129-209. Zbl0132.07402MR233064
  7. [7] L. Hörmander: A class of hypoelliptic pseudo-differential operators with double characteristics, Math. Ann.217 (1975), 165-188. Zbl0306.35032MR377603
  8. [8] O.A. Oleĭnik and E.V. Radkevič: Second order equations with nonnegative characteristic form, Amer. Math. Soc., Providence, Rhode Island and Plenum Press, New York, 1973. MR457908
  9. [9] K. Sato and T. Ueno: Multi-dimensional diffusion and Markov process on the boundary, J. Math. Kyoto Univ.4 (1965), 529-605. Zbl0219.60057MR198547
  10. [10] D.W. Stroock and S.R.S. Varadhan: On degenerate elliptic-parabolic operators of second order and their associated diffusion, Comm. Pure Appl. Math.24 (1972), 651-713. Zbl0344.35041MR387812
  11. [11] K. Taira: Sur l'existence de processus de diffusion, Ann. Inst. Fourier(Grenoble) 29 (1979), 99-126. Zbl0403.60071MR558591
  12. [12] K. Taira: Un théorème d'existence et d'unicicté des solutions pour des problèmes aux limites non-elliptiques, à paraître au Journal of Functional Analysis. Zbl0474.35045
  13. [13] T. Ueno: The diffusion satisfying Wentzell's boundary condition and the Markov process on the boundary II, Proc. Japan Acad.36 (1960), 625-629. Zbl0100.13802MR144381
  14. [14] A.D. Wentzell(Ventcel'): On boundary conditions for multidimensional diffusion processes, Theor. Prob. and Appl.4 (1959), 164-177. Zbl0089.13404MR121855
  15. [15] K. Yosida: Functional analysis, Springer-Verlag, Berlin, 1965. Zbl0126.11504

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