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Kaikina, Elena Igorevna
E-mail:
Keywords: asymptotics in the far region, nonlinear heat equation, critical nonlinearity.

https://www.mathnet.ru/eng/person14342
List of publications on Google Scholar
https://zbmath.org/authors/ai:kaikina.elena-igorevna
https://mathscinet.ams.org/mathscinet/MRAuthorID/321575

Publications in Math-Net.Ru Citations
2013
1. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation”, Izv. RAN. Ser. Mat., 77:2 (2013),  97–108  mathnet  mathscinet  zmath  elib; Izv. Math., 77:2 (2013), 313–324  isi  elib  scopus 4
2012
2. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “The far-field asymptotics of solutions of a fractional non-linear equation”, Izv. RAN. Ser. Mat., 76:2 (2012),  37–66  mathnet  mathscinet  zmath  elib; Izv. Math., 76:2 (2012), 245–274  isi  elib  scopus
2010
3. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Periodic Boundary Value Problem for Nonlinear Sobolev-Type Equations”, Funktsional. Anal. i Prilozhen., 44:3 (2010),  14–26  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 44:3 (2010), 171–181  isi  scopus 10
2009
4. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “A boundary-value problem for a non-linear equation with a fractional derivative”, Izv. RAN. Ser. Mat., 73:6 (2009),  101–124  mathnet  mathscinet  zmath  elib; Izv. Math., 73:6 (2009), 1173–1196  isi  scopus
5. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations”, Uspekhi Mat. Nauk, 64:3(387) (2009),  3–72  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 64:3 (2009), 399–468  isi  elib  scopus 7
2007
6. N. Hayashi, E. I. Kaikina, P. I. Naumkin, “Asymptotics for nonlinear damped wave equations with large initial data”, Sib. Èlektron. Mat. Izv., 4 (2007),  249–277  mathnet  mathscinet  zmath 3
2005
7. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “The Cauchy problem for an equation of Sobolev type with power non-linearity”, Izv. RAN. Ser. Mat., 69:1 (2005),  61–114  mathnet  mathscinet  zmath  elib; Izv. Math., 69:1 (2005), 59–111  isi  elib  scopus 46
2004
8. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotics of solutions of non-linear dissipative equations”, Izv. RAN. Ser. Mat., 68:3 (2004),  29–62  mathnet  mathscinet  zmath; Izv. Math., 68:3 (2004), 461–492  isi  scopus 3
9. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Cauchy problem for non-linear systems of equations in the critical case”, Mat. Sb., 195:11 (2004),  31–62  mathnet  mathscinet  zmath; Sb. Math., 195:11 (2004), 1575–1605  isi  scopus 1
2003
10. E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, “Asymptotics for Nonlinear Evolution Equations with Small Dissipation”, Differ. Uravn., 39:5 (2003),  624–637  mathnet  mathscinet; Differ. Equ., 39:5 (2003), 658–673
1993
11. E. I. Kaikina, I. A. Shishmarev, “A periodic problem for a nonlinear nonlocal Schrödinger equation”, Differ. Uravn., 29:11 (1993),  1996–1998  mathnet  mathscinet; Differ. Equ., 29:11 (1993), 1733–1736
1991
12. E. I. Kaikina, “Generalized solutions to the Cauchy problem for the system for surface waves in the conservative case”, Mat. Model., 3:12 (1991),  107–114  mathnet  mathscinet 1
13. E. I. Kaikina, “Cauchy problem for the nonlocal Schrödinger equation. II”, Mat. Model., 3:11 (1991),  96–109  mathnet  mathscinet
14. E. I. Kaikina, “Cauchy problem for the nonlocal Schrödinger equation. I”, Mat. Model., 3:11 (1991),  83–95  mathnet  mathscinet

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