Global solution and blow-up of logarithmic Klein-Gordon equation

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참고문헌 (29)

1. K. Agre, "Systems of nonlinear wave equations with damping and source terms", Differential Integral Equations, 19(11), pp.1235~1270 (2006)
2. J. D. Barrow, "In ationary models with logarithmic potentials", Phys. Rev. D, 52, pp.5576~5587 (1995)
3. K. Bartkowski, "One-dimensional Klein-Gordon equation with logarithmic nonlinearities", J. Phys. A, 41(35), pp.11~ (2008)[DOI]
4. I. Bia lynicki-Birula, "Wave equations with logarithmic nonlinearities", Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys, 23(4), pp.461~466 (1975)
5. Iwo Bialynicki-Birula, "Nonlinear wave mechanics", Annals of Physics, 100(1-2), pp.62~93 (1976), Elsevier BV[DOI]
6. H. Buljan, "Incoherent white light solitons in logarithmically saturable noninstantaneous nonlinear media", Physical Review E, 68(3) (2003), American Physical Society (APS)[DOI]
7. T. Cazenave, "Stable solutions of the logarithmic Schrodinger equation", Nonlinear Anal, 7(10), pp.1127~1140 (1983)
8. T. Cazenave, "Equation de Schrodinger avec non-linearite logarithmique", C. R. Acad. Sci. Paris Ser. A-B, 288(4), pp.A253~A256 (1979)
9. Hua Chen, "Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity", Journal of Mathematical Analysis and Applications, 422(1), pp.84~98 (2015), Elsevier BV[DOI]
10. Hua Chen, "Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity", Journal of Differential Equations, 258(12), pp.4424~4442 (2015), Elsevier BV[DOI]
11. K. Enqvist, "Q-balls and baryogenesis in the MSSM", Phys. Lett. B, 425, pp.309~321 (1998)
12. Filippo Gazzola, "Global solutions and finite time blow up for damped semilinear wave equations", Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 23(2), pp.185~207 (2006), Elsevier BV[DOI]
13. S. Gerbi, "Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions", Adv. Differential Equations, 13(11-12), pp.1051~1074 (2008)
14. S. Gerbi, "Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions", Nonlinear Analysis: Theory, Methods & Applications, 74(18), pp.7137~7150 (2011), Elsevier BV[DOI]
15. Stéphane Gerbi, "Exponential decay for solutions to semilinear damped wave equation", Discrete & Continuous Dynamical Systems - S, 5(3), pp.559~566 (2012), American Institute of Mathematical Sciences (AIMS)[DOI]
16. Przemysław Górka, "Logarithmic Quantum Mechanics: Existence of the Ground State", Foundations of Physics Letters, 19(6), pp.591~601 (2006), Springer Science and Business Media LLC[DOI]
17. Przemysław Górka, "Convergence of Logarithmic Quantum Mechanics to the Linear One", Letters in Mathematical Physics, 81(3), pp.253~264 (2007), Springer Science and Business Media LLC[DOI]
18. P. Gorka, "Logarithmic Klein-Gordon equation", Acta Phys. Polon. B, 40(1), pp.59~66 (2009)
19. Leonard Gross, "Logarithmic Sobolev Inequalities", American Journal of Mathematics, 97(4), pp.1061~1083 (1975), JSTOR[DOI]
20. Xiaosen Han, "Global existence of weak solutions for a logarithmic wave equation arising from Q-ball dynamics", 대한수학회보, 50(1), pp.275~283 (2013), 대한수학회
21. T. Hiramatsu, "Numerical study of Q-ball formation in gravity mediation", J. Cosmol. Astropart. Phys, 2010(6), pp.008~ (2010)[DOI]
22. Wiesław Królikowski, "Unified model for partially coherent solitons in logarithmically nonlinear media", Physical Review E, 61(3), pp.3122~3126 (2000), American Physical Society (APS)[DOI]
23. Andrei Linde, "Strings, textures, inflation and spectrum bending", Physics Letters B, 284(3-4), pp.215~222 (1992), Elsevier BV[DOI]
24. S. De Martino, "Logarithmic Schrodinger-like equation as a model for magma transport", Europhys. Lett, 63(3), pp.472~475 (2003)[DOI]
25. Salim A. Messaoudi, "Global Existence and Nonexistence in a System of Petrovsky", Journal of Mathematical Analysis and Applications, 265(2), pp.296~308 (2002), Elsevier BV[DOI]
26. Z. Nehari, "On a class of nonlinear second-order differential equations", Trans. Amer. Math. Soc, 95, pp.101~123 (1960)[DOI]
27. L. E. Payne, "Saddle points and instability of nonlinear hyperbolic equations", Israel Journal of Mathematics, 22(3-4), pp.273~303 (1975), Springer Science and Business Media LLC[DOI]
28. D. H. Sattinger, "On global solution of nonlinear hyperbolic equations", Archive for Rational Mechanics and Analysis, 30(2), pp.148~172 (1968), Springer Science and Business Media LLC[DOI]
29. M. Willem, "Minimax theorems" (1996), Birkhauser Boston, Inc

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