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On a parabolic Hamilton-Jacobi-Bellman equation degenerating at the boundary
The lifespan of solutions to semilinear damped wave equations in one space dimension
1. | Department of Mathematics, Hokkaido University, Sapporo, 060-0810 |
References:
[1] |
R. Agemi, Y. Kurokawa and H. Takamura, Critical curve for p-q systems of nonlinear wave equations in three space dimensions, J. Differential Equations, 167 (2000), 87-133.
doi: 10.1006/jdeq.2000.3766. |
[2] |
M. D'Abbicco, The threshold of effective damping for semilinear wave equations, Mathematical Methods in Applied Sciences, 38 (2015), 1032-1045.
doi: 10.1002/mma.3126. |
[3] |
M. D'Abbicco, S. Lucente and M. Reissig, A shift in the Strauss exponent for semilinear wave equations with a not effective damping, Journal of Differential Equations, 259 (2015), 5040-5073.
doi: 10.1016/j.jde.2015.06.018. |
[4] |
F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math., 28 (1979), 235-268.
doi: 10.1007/BF01647974. |
[5] |
H. Kubo, A. Osaka and M. Yazici, Global existence and blow-up for wave equations with weighted nonlinear terms in one space dimension, Interdisciplinary Information Sciences, 19 (2013), 143-148.
doi: 10.4036/iis.2013.143. |
[6] |
K. Wakasa, The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension, Hokkaido Mathematical Journal, to appear. |
[7] |
Y. Wakasugi, On the Diffusive Structure for the Damped Wave Equation with Variable Coefficients, Doctoral thesis, Osaka University, 2014. |
show all references
References:
[1] |
R. Agemi, Y. Kurokawa and H. Takamura, Critical curve for p-q systems of nonlinear wave equations in three space dimensions, J. Differential Equations, 167 (2000), 87-133.
doi: 10.1006/jdeq.2000.3766. |
[2] |
M. D'Abbicco, The threshold of effective damping for semilinear wave equations, Mathematical Methods in Applied Sciences, 38 (2015), 1032-1045.
doi: 10.1002/mma.3126. |
[3] |
M. D'Abbicco, S. Lucente and M. Reissig, A shift in the Strauss exponent for semilinear wave equations with a not effective damping, Journal of Differential Equations, 259 (2015), 5040-5073.
doi: 10.1016/j.jde.2015.06.018. |
[4] |
F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manuscripta Math., 28 (1979), 235-268.
doi: 10.1007/BF01647974. |
[5] |
H. Kubo, A. Osaka and M. Yazici, Global existence and blow-up for wave equations with weighted nonlinear terms in one space dimension, Interdisciplinary Information Sciences, 19 (2013), 143-148.
doi: 10.4036/iis.2013.143. |
[6] |
K. Wakasa, The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension, Hokkaido Mathematical Journal, to appear. |
[7] |
Y. Wakasugi, On the Diffusive Structure for the Damped Wave Equation with Variable Coefficients, Doctoral thesis, Osaka University, 2014. |
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