Green function for the heat equation with oblique boundary conditions in an angle

Maria Giovanna Garroni; Vsevolod Alekseevič Solonnikov; Maria Agostina Vivaldi

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 25, Issue: 3-4, page 455-485
  • ISSN: 0391-173X

How to cite

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Garroni, Maria Giovanna, Solonnikov, Vsevolod Alekseevič, and Vivaldi, Maria Agostina. "Green function for the heat equation with oblique boundary conditions in an angle." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.3-4 (1997): 455-485. <http://eudml.org/doc/84301>.

@article{Garroni1997,
author = {Garroni, Maria Giovanna, Solonnikov, Vsevolod Alekseevič, Vivaldi, Maria Agostina},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {estimates of the Green function; weighted Sobolev spaces},
language = {eng},
number = {3-4},
pages = {455-485},
publisher = {Scuola normale superiore},
title = {Green function for the heat equation with oblique boundary conditions in an angle},
url = {http://eudml.org/doc/84301},
volume = {25},
year = {1997},
}

TY - JOUR
AU - Garroni, Maria Giovanna
AU - Solonnikov, Vsevolod Alekseevič
AU - Vivaldi, Maria Agostina
TI - Green function for the heat equation with oblique boundary conditions in an angle
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 25
IS - 3-4
SP - 455
EP - 485
LA - eng
KW - estimates of the Green function; weighted Sobolev spaces
UR - http://eudml.org/doc/84301
ER -

References

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  1. [1] E.V. Frolova, On a certain nonstationary problem in a dihedral angle, I, I. Journal of Soviet Mathematics70 (1994), No. 3, 1828-1840. Zbl0835.35159MR1111474
  2. [2] M.G. Garroni - J.L. Menaldi, "Green functions for second order parabolic integrodifferential problems", Longman Sc. & Tech., New York, 1992. Zbl0806.45007MR1202037
  3. [3] M.G. Garroni, V.A. Solonnikov, M.A. Vivaldi, Existence and regularity results for oblique derivative problems for heat equations in an angle, to appear on Proc. Royal Society, Edinburg. Zbl0958.35063MR1606341
  4. [4] M.G. Garroni - V.A. Solonnikov - M.A. Vivaldi, On the oblique derivative problem in an infinite angle, Topological Methods and Nonlinear Analysis7 (1996), 299-325. Zbl0897.35023MR1481701
  5. [5] P. Grisvard, "Elliptic Problems in Nonsmooth Domains", Pitman Ad. P. Program, Boston, 1985. Zbl0695.35060MR775683
  6. [6] V.A. Kondrat'ev, Boundary-value problems for elliptic equations in domains with conical or angular point, Tr. Mosk Mat. Obshch16 (1967), 209-292; English Transl. in Trans Moscow Math. Soc.1967 (1968), 227-314. Zbl0194.13405MR226187
  7. [7] V. Kozlov, On the asymptotics of the Green function and Poisson kernels for the mixed parabolic problem in a cone, I, Zeitschrift für Analysis und ihre Anwendungen, (russian) v. 8, 2 (1989), 131-151. Zbl0728.35048MR1010030
  8. [8] V. Kozlov, On the asumptotic of the Green function and Poisson kernels for the mixed parabolic problem in a cone, II, Zeitschrift für Analysis und ihre Anwendungen, (russian) v. 10,1 (1991), 27-42. Zbl0784.35040MR1155353
  9. [9] O.A. Ladyzenskaja - V.A. Solonnikov - N.N. Uralceva, "Linear and quasilinear equations of parabolic type", Am. Math. Soc., Providence, 1968. Zbl0174.15403MR241822
  10. [10] V.A. Solonnikov, Solvability of the classical initial-boundary-value problems for the heat-condition equation in a dihedral angle, J. Sov. Math.32 (1986), 526-546. Zbl0582.35055
  11. [11] V.A. Solonnikov - E.V. Frolova, On a problem with the third boundary condition equation in a plane angle and its applications to parabolic problems, Algebra Analiz.2 (1990), 213-241; English Transl. in Leningrad Math. J.2 (1991), 891-916. Zbl0732.35021MR1080206
  12. [12] V.A. Solonnikov - E.V. Frolova, On a certain nonstationary problem in a dihedral angle II, Journal of Soviet Mathematics70 (1994), No. 3, 1841-1846. Zbl0835.35160MR1111475
  13. [13] V. Zaionchkowskii - V.A. Solonnikov, On the Neumann problem for second-order elliptic equations in domains with edges on the boundary, Journal of Soviet Mathematics27 (1984), No. 2, 2561-2586. Zbl0544.35034

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