1 |
T. Hiramatsu, M. Kawasaki, and F. Takahashi, Numerical study of Q-ball formation in gravity mediation, Journal of Cosmology and Astroparticle Physics 2010 (2010), no. 6, 008.
|
2 |
W. Krolikowski, D. Edmundson, and O. Bang, Unified model for partially coherent solitons in logarithmically nonlinear media, Phys. Rev. E 61 (2000), 3122-3126.
DOI
ScienceOn
|
3 |
A. Linde, Strings, textures, inflation and spectrum bending, Phys. Lett. B 284 (1992), 215-222.
DOI
ScienceOn
|
4 |
V. S. Vladimirov, The equation of the p-adic open string for the scalar tachyon field, Izv. Math. 69 (2005), no. 3, 487-512.
DOI
ScienceOn
|
5 |
V. S. Vladimirov and Ya. I. Volovich, Nonlinear dynamics equation in p-adic string theory, Teoret. Mat. Fiz. 138 (2004), 355-368.
DOI
|
6 |
S. Zheng, Nonlinear Evolution Equations, Chapman & Hall/CRC, Boca Raton, FL, 2004.
|
7 |
J. D. Barrow and P. Parsons, Inflationary models with logarithmic potentials, Phys. Rev. D 52 (1995), 5576-5587.
DOI
ScienceOn
|
8 |
K. Bartkowski and P. Gorka, One-dimensional Klein-Gordon equation with logarithmic nonlinearities, J. Phys. A 41 (2008), no. 35, 355201, 11 pp.
DOI
ScienceOn
|
9 |
I. Bialynicki-Birula and J. Mycielski, Wave equations with logarithmic nonlinearities, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 23 (1975), no. 4, 461-466.
|
10 |
I. Bialynicki-Birula and J. Mycielski, Nonlinear wave mechanics, Ann. Physics 100 (1976), no. 1-2, 62-93.
DOI
ScienceOn
|
11 |
H. Buljan, A. Siber, M. Soljacic, T. Schwartz, M. Segev, and D. N. Christodoulides, Incoherent white light solitons in logarithmically saturable noninstantaneous nonlinear media, Phys. Rev. E (3) 68 (2003), no. 3, 036607, 6 pp.
DOI
|
12 |
T. Cazenave, Stable solutions of the logarithmic Schrodinger equation, Nonlinear Anal. 7 (1983), 1127-1140.
DOI
ScienceOn
|
13 |
K. Enqvist and J. McDonald, Q-balls and baryogenesis in the MSSM, Phys. Lett. B 425 (1998), 309-321.
DOI
ScienceOn
|
14 |
T. Cazenave and A. Haraux, Equations d'evolution avec non-linearite logarithmique, Ann. Fac. Sci. Toulouse Math. (5) 2 (1980), no. 1, 21-51.
DOI
|
15 |
T. Cazenave and A. Haraux, Equation de Schrodinger avec non-linearite logarithmique, C. R. Acad. Sci. Paris Ser. A-B 288 (1979), no. 4, A253-A256.
|
16 |
S. De Martino, M. Falanga, C. Godano, and G. Lauro, Logarithmic Schr¨odinger-like equation as a model for magma transport, Europhys. Lett. 63 (2003), no. 3, 472-475.
DOI
ScienceOn
|
17 |
Y. Giga, S. Matsuiy, and O. Sawada, Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity, J. Math. Fuid Mech. 3 (2001), no. 3, 302-315.
DOI
|
18 |
P. Gorka, Logarithmic Klein-Gordon equation, Acta Phys. Polon. B 40 (2009), no. 1, 59-66.
|
19 |
P. Gorka, Logarithmic quantum mechanics: existence of the ground state, Found. Phys. Lett. 19 (2006), no. 6, 591-601.
DOI
|
20 |
P. Gorka, Convergence of logarithmic quantum mechanics to the linear one, Lett. Math. Phys. 81 (2007), no. 3, 253-264.
DOI
|
21 |
P. Gorka, H. Prado, and E. G. Reyes, Functional calculus via Laplace transform and equations with infinitely many derivatives, J. Math. Phys. 51 (2010), no. 10, 103512, 10 pp.
DOI
ScienceOn
|
22 |
P. Gorka, H. Prado, and E. G. Reyes, Nonlinear equations with infinitely many derivatives, Complex Anal. Oper. Theory 5 (2011), no. 1, 313-323.
DOI
|
23 |
L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97 (1975), no. 4, 1061-1083.
DOI
ScienceOn
|