On the admissibility of singular perturbations in Cauchy problems. II

On the admissibility of singular perturbations in Cauchy problems. II

Ryuichi Ashino

Source: Publ. Res. Inst. Math. Sci. Volume 30, Number 6 (1994), 1039-1054.

Related Works:

Part I: Ryuichi Ashino. On the weak admissibility of singular perturbations in Cauchy problems. Publ. Res. Inst. Math. Sci., Volume 25, Number 6 (1989), 947--969.

Mathematical Reviews (MathSciNet): MR1045999

Zentralblatt MATH: 0711.35010

Project Euclid: euclid.prims/1195172512

Primary Subjects: 35B25

Secondary Subjects: 35E15

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.prims/1195164947
Mathematical Reviews number (MathSciNet): MR1322945
Zentralblatt MATH identifier: 0835.35012
Digital Object Identifier: doi:10.2977/prims/1195164947

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References

[1] Ashino, R., The reducibility of the boundary conditions in the one-parameter family of elliptic linear boundary value problems I, Osaka J. Math., 25 (1988), 737-757.

Mathematical Reviews (MathSciNet): MR983798

Zentralblatt MATH: 0705.35007

[2] Ashino, R., On the admissibility of singular perturbations in Cauchy problems, Osaka J. Math., 26 (1989), 387-398.

Mathematical Reviews (MathSciNet): MR1017593

Zentralblatt MATH: 0705.35009

[3] Ashino, R., The reducibility of the boundary conditions in the one-parameter family of elliptic linear boundary value problems II, Osaka J. Math., 26 (1989), 535-556.

Mathematical Reviews (MathSciNet): MR1021430

Zentralblatt MATH: 0705.35008

[4] Ashino, R., On the weak admissibility of singular perturbations in Cauchy problems, Publ. RIMS, Kyoto Univ., 25 (1989), 947-969.

Mathematical Reviews (MathSciNet): MR1045999

Zentralblatt MATH: 0711.35010

[5] Ashino, R., On Nagumo's testability in singular perturbations, Publ. RIMS, Kyoto Univ., 27 (1991), 551-575.

Mathematical Reviews (MathSciNet): MR1140677

Zentralblatt MATH: 0782.35004

[6] Macdonald, I. G., Symmetric functions and Hall polynomials, Oxford University Press, 1979.

Mathematical Reviews (MathSciNet): MR553598

Zentralblatt MATH: 0899.05068

[7] Shilov, G. E., Linear Algebra, Dover, 1977.

Mathematical Reviews (MathSciNet): MR466162

[8] Uchiyama, K., L2-theory of singular perturbation of hyperbolic equations I. (A priori estimates with parameter e.), J. Fac. Sd. Univ. Tokyo, 39 (1992), 233-269.

Mathematical Reviews (MathSciNet): MR1179768

Zentralblatt MATH: 0780.35058

[9] Uchiyama, K., L2-theory of singular perturbation of hyperbolic equations II. (Asymptotic expansions of dissipative type.), J. Fac.Sci. Univ. Tokyo, 40 (1993), 387-409.

Mathematical Reviews (MathSciNet): MR1255047

Zentralblatt MATH: 0862.35064

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