## Found 26 Documents (Results 1–26)

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### On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction. (English)Zbl 07500531

MSC:  35Q55 35B35
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### Global attractor for 3D Dirac equation with nonlinear point interaction. (English)Zbl 07496923

MSC:  35B40 35B41 35Q41
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### A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. (English)Zbl 1475.35313

MSC:  35Q55 35B40
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### On the rate of stabilization of solutions to the Cauchy problem for the Godunov-Sultangazin system with periodic initial data. (English. Russian original)Zbl 1476.35039

J. Math. Sci., New York 259, No. 3, 349-375 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 165, 88-113 (2019).
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### Attractors of nonlinear Hamiltonian partial differential equations. (English. Russian original)Zbl 1439.35001

Russ. Math. Surv. 75, No. 1, 1-87 (2020); translation from Usp. Mat. Nauk 75, No. 1, 3-94 (2020).
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### Existence of solitary solutions in systems of PDEs with multiplicative polynomial coupling. (English)Zbl 1426.35082

MSC:  35G20 35A01 35C08
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### On a speed of solutions stabilization of the Cauchy problem for the Carleman equation with periodic initial data. (Russian. English summary)Zbl 1413.35302

MSC:  35L45 35L60 35Q20
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### Generation of chaotic dynamics and local equilibrium for the Carleman equation. (English. Russian original)Zbl 1373.37099

J. Math. Sci., New York 224, No. 5, 764-795 (2017); translation from Probl. Mat. Anal. 88, 143-170 (2017).
MSC:  37D45 35F55 35C20
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### On global well-posedness for Klein-Gordon equation with concentrated nonlinearity. (English)Zbl 1350.35103

MSC:  35L15 35A01 35A02
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### The Bloch principle for $$L_2(R)$$ stabilization of solutions to the Cauchy problem for the Carleman equation. (English. Russian original)Zbl 1337.35082

J. Math. Sci., New York 210, No. 5, 677-735 (2015); translation from Probl. Mat. Anal. 82, 111-163 (2015).
MSC:  35L45 35L60 35B25
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### On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original)Zbl 1304.35001

St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013).
MSC:  35-00 01A70
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### Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three. (English)Zbl 1322.35122

MSC:  35Q55 35J10 35B35
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### Asymptotic stability of solitons for nonlinear hyperbolic equations. (English. Russian original)Zbl 1275.35069

Russ. Math. Surv. 68, No. 2, 283-334 (2013); translation from Usp. Mat. Nauk. 68, No. 2, 91-144 (2013).
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### On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to a nonlinear oscillator. (English)Zbl 1207.39021

Reviewer: Fei Xue (Hartford)
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### On asymptotic completeness for scattering in the nonlinear Lamb system. (English)Zbl 1202.81200

MSC:  81U05 35P25
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### On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator. (English)Zbl 1167.35515

MSC:  35Q55 37K40 39A12
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### Analysis of the adiabatic limit for solitons in classical field theory. (English)Zbl 1130.70013

MSC:  70S15 35Q51 35Q53
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