An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation

Nina A. Chernyavskaya; Leonid A. Shuster

Czechoslovak Mathematical Journal (2012)

  • Volume: 62, Issue: 3, page 709-716
  • ISSN: 0011-4642

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Chernyavskaya, Nina A., and Shuster, Leonid A.. "An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation." Czechoslovak Mathematical Journal 62.3 (2012): 709-716. <http://eudml.org/doc/247128>.

@article{Chernyavskaya2012,
abstract = {},
author = {Chernyavskaya, Nina A., Shuster, Leonid A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Sobolev space; embedding theorem; Sturm-Liouville equation; Sobolev space; embedding theorem; Sturm-Liouville equation},
language = {eng},
number = {3},
pages = {709-716},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation},
url = {http://eudml.org/doc/247128},
volume = {62},
year = {2012},
}

TY - JOUR
AU - Chernyavskaya, Nina A.
AU - Shuster, Leonid A.
TI - An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation
JO - Czechoslovak Mathematical Journal
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 62
IS - 3
SP - 709
EP - 716
AB -
LA - eng
KW - Sobolev space; embedding theorem; Sturm-Liouville equation; Sobolev space; embedding theorem; Sturm-Liouville equation
UR - http://eudml.org/doc/247128
ER -

References

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  1. Chernyavskaya, N., Shuster, L., 10.1090/S0002-9939-99-05049-2, Proc. Am. Math. Soc. 127 (1999), 1413-1426. (1999) Zbl0918.34032MR1625725DOI10.1090/S0002-9939-99-05049-2
  2. Chernyavskaya, N., Shuster, L., 10.1090/S0002-9939-01-06145-7, Proc. Am. Math. Soc. 130 (2002), 1043-1054. (2002) Zbl0994.34014MR1873778DOI10.1090/S0002-9939-01-06145-7
  3. Chernyavskaya, N., Shuster, L., 10.1112/jlms/jdp012, J. Lond. Math. Soc., II. Ser. 80 (2009), 99-120. (2009) Zbl1188.34036MR2520380DOI10.1112/jlms/jdp012
  4. Grinshpun, E., Otelbaev, M., On smoothness of solutions of nonlinear Sturm-Liouville equation in L 1 ( - ∞ , ∞ ) , Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 5 (1984), 26-29 Russian. (1984) MR0774312
  5. Mynbaev, K., Otelbaev, M. O., Weighted Functional Spaces and the Spectrum of Differential Operators, Moskva: Nauka 286 (1988), Russian. English summary. (1988) Zbl0651.46037MR0950172
  6. Ojnarov, R., Separability of the Schrödinger operator in the space of summable functions, Dokl. Akad. Nauk SSSR 285 (1985), 1062-1064. (1985) MR0820597
  7. Ojnarov, R., Some properties of the Sturm-Liouville operator in L p , Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 152 (1990), 43-47. (1990) MR1089974
  8. Otelbaev, M. O., On coercive estimates of solutions of difference equations, Tr. Mat. Inst. Steklova 181 (1988), Russian 241-249. (1988) Zbl0661.39003MR0945435
  9. Otelbaev, M., On smoothness of a solution of a nonlinear parabolic equation, In 10th Czechoslovak-Soviet Meeting ``Application of Fundamental Methods and Methods of Theory of Functions to Problems of Mathematical Physics'', Stara Gura, 26.09.--01.10. 1988 37. 

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