Approximation of solutions of differential equations in Hilbert space

John LAGNESE

doi:10.2969/jmsj/02510132

John LAGNESE

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ジャーナルフリー

1973 年 25 巻 1 号 p. 132-143

DOI https://doi.org/10.2969/jmsj/02510132

詳細

Published: 1973 Received: 1972/04/06 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) G. Barenblat, I. Zheltov and I. Kochiva, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech., 24 (1960), 1286-1303.
2) P. Chen and M. Gurtin, On a theory of heat conduction involving two temperatures, Z. Angew. Math. Phys., 19 (1968), 614-627.
3) B. Coleman and W. Noll, An approximation theorem for functionals, with applications to continuum mechanics, Arch. Rational Mech. Anal., 6 (1960), 355-370.
4) H. Gajewski and K. Zacharias, Zur starkers Konvergenz des Galerkinverfahrens bei einer Klasse pseudoparabolischer partieller Differentialgleichungen, Math. Nachrichten, 47 (1970), 365-376.
5) J. Lagnese, General boundary value problems for differential equations of Sobolev type, SIAM J. Math. Anal., 3 (1972), 105-119.
6) J. L. Lions, Equations Differentielles Operationnelles et Problèmes aux Limites, Springer-Verlag, Berlin, 1961.
7) R. Phillips, Perturbation theory for semi-groups of linear operators, Trans. Amer. Math. Soc., 74 (1953), 199-221.
8) R. Showalter, Well-posed problems for a partial differential equation of order 2m+1, SIAM J. Math. Anal., 1 (1970), 214-231.
9) D. W. Taylor, Research on Consolidation of Clays, MIT Press, Cambridge, Mass., 1952.
10) T. W. Ting, Certain nonsteady flows of second order fluids, Arch. Rational Mech. Anal., 14 (1963), 1-26.
11) T. W. Ting, Parabolic and pseudo-parabolic partial differential equations, J. Math. Soc. Japan, 21 (1969), 440-453.
12) K. Yosida, Functional Analysis, Academic Press Inc., New York, 1965.

Right : [1] G. Barenblat, I. Zheltov and I. Kochiva, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech., 24 (1960), 1286-1303.
[2] P. Chen and M. Gurtin, On a theory of heat conduction involving two temperatures, Z. Angew. Math. Phys., 19 (1968), 614-627.
[3] B. Coleman and W. Noll, An approximation theorem for functionals, with applications to continuum mechanics, Arch. Rational Mech. Anal., 6 (1960), 355-370.
[4] H. Gajewski and K. Zacharias, Zur starken Konvergenz des Galerkinverfahrens bei einer Klasse pseudoparabolischer partieller Differentialgleichungen, Math. Nachrichten, 47 (1970), 365-376.
[5] J. Lagnese, General boundary value problems for differential equations of Sobolev type, SIAM J. Math. Anal., 3 (1972), 105-119.
[6] J. L. Lions, Equations Differentielles Operationnelles et Problèmes aux Limites, Springer-Verlag, Berlin, 1961.
[7] R. Phillips, Perturbation theory for semi-groups of linear operators, Trans. Amer. Math. Soc., 74 (1953), 199-221.
[8] R. Showalter, Well-posed problems for a partial differential equation of order 2m+1, SIAM J. Math. Anal., 1 (1970), 214-231.
[9] D. W. Taylor, Research on Consolidation of Clays, MIT Press, Cambridge, Mass., 1952.
[10] T. W. Ting, Certain nonsteady flows of second order fluids, Arch. Rational Mech. Anal., 14 (1963), 1-26.
[11] T. W. Ting, Parabolic and pseudo-parabolic partial differential equations, J. Math. Soc. Japan, 21 (1969), 440-453.
[12] K. Yosida, Functional Analysis, Academic Press Inc., New York, 1965.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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