TY - JOUR AU - Abbas, S. AU - Benchohra, M. AU - Zhou, Y. PY - 2017 DA - 2017// TI - Weak solutions for a coupled system of Pettis–Hadamard fractional differential equations JO - Adv. Differ. Equ. VL - 2017 UR - https://doi.org/10.1186/s13662-017-1391-z DO - 10.1186/s13662-017-1391-z ID - Abbas2017 ER - TY - JOUR AU - Christ, F. AU - Weinstein, M. PY - 1991 DA - 1991// TI - Dispersion of small-amplitude solutions of the generalized Korteweg–de Vries equation JO - J. Funct. Anal. VL - 100 UR - https://doi.org/10.1016/0022-1236(91)90103-C DO - 10.1016/0022-1236(91)90103-C ID - Christ1991 ER - TY - JOUR AU - D’Abbicco, M. PY - 2013 DA - 2013// TI - Small data solutions for semilinear wave equations with effective damping JO - Discrete Contin. Dyn. Syst. VL - 2013 ID - D’Abbicco2013 ER - TY - JOUR AU - D’Abbicco, M. PY - 2015 DA - 2015// TI - The threshold of effective damping for semilinear wave equations JO - Math. Methods Appl. Sci. VL - 38 UR - https://doi.org/10.1002/mma.3126 DO - 10.1002/mma.3126 ID - D’Abbicco2015 ER - TY - JOUR AU - D’Abbicco, M. AU - Lucente, S. AU - Reissig, M. PY - 2013 DA - 2013// TI - Semi-linear wave equations with effective damping JO - Chin. Ann. Math. VL - 34B UR - https://doi.org/10.1007/s11401-013-0773-0 DO - 10.1007/s11401-013-0773-0 ID - D’Abbicco2013 ER - TY - BOOK AU - Ebert, M. R. AU - Reissig, M. PY - 2018 DA - 2018// TI - Methods for Partial Differential Equations PB - Birkhäuser CY - Basel UR - https://doi.org/10.1007/978-3-319-66456-9 DO - 10.1007/978-3-319-66456-9 ID - Ebert2018 ER - TY - JOUR AU - Fujita, H. PY - 1966 DA - 1966// TI - On the blowing up of solutions of the Cauchy problem for ut+Δu+u1+α$u_{t}+\Delta u+u^{1+\alpha }$ JO - J. Fac. Sci., Univ. Tokyo VL - 13 ID - Fujita1966 ER - TY - BOOK AU - Grafakos, L. PY - 2004 DA - 2004// TI - Classical and Modern Fourier Analysis PB - Prentice Hall CY - New York ID - Grafakos2004 ER - TY - JOUR AU - Grafakos, L. AU - Oh, S. PY - 2014 DA - 2014// TI - The Kato–Ponce inequality JO - Commun. Partial Differ. Equ. VL - 39 UR - https://doi.org/10.1080/03605302.2013.822885 DO - 10.1080/03605302.2013.822885 ID - Grafakos2014 ER - TY - JOUR AU - Gulisashvili, A. AU - Kon, M. PY - 1996 DA - 1996// TI - Exact smoothing properties of Schrödinger semigroups JO - Am. J. Math. VL - 118 UR - https://doi.org/10.1353/ajm.1996.0050 DO - 10.1353/ajm.1996.0050 ID - Gulisashvili1996 ER - TY - JOUR AU - Hajaiej, H. AU - Molinet, L. AU - Ozawa, T. AU - Wang, B. PY - 2011 DA - 2011// TI - Necessary and sufficient conditions for the fractional Gagliardo–Nirenberg inequalities and applications to Navier–Stokes and generalized boson equations JO - Harmon. Anal. Nonlinear Partial Differ. Equ. VL - B26 ID - Hajaiej2011 ER - TY - JOUR AU - Ikehata, R. AU - Miyaoka, Y. AU - Nakatake, T. PY - 2004 DA - 2004// TI - Decay estimates of solutions for dissipative wave equations in Rn$\mathbb{R}^{n}$ with lower power nonlinearities JO - J. Math. Soc. Jpn. VL - 56 UR - https://doi.org/10.2969/jmsj/1191418635 DO - 10.2969/jmsj/1191418635 ID - Ikehata2004 ER - TY - JOUR AU - Ikehata, R. AU - Tanizawa, K. PY - 2005 DA - 2005// TI - Global existence of solutions for semilinear damped wave equations in Rn$\mathbb{R}^{n}$ with noncompactly supported initial data JO - Nonlinear Anal. VL - 61 UR - https://doi.org/10.1016/j.na.2005.01.097 DO - 10.1016/j.na.2005.01.097 ID - Ikehata2005 ER - TY - JOUR AU - Kato, T. AU - Ponce, G. PY - 1993 DA - 1993// TI - Well-posedness and scattering results for the generalized Korteweg–de Vries equation via the contraction principle JO - Commun. Pure Appl. Math. VL - 46 UR - https://doi.org/10.1002/cpa.3160460405 DO - 10.1002/cpa.3160460405 ID - Kato1993 ER - TY - JOUR AU - Kenig, C. E. AU - Ponce, G. AU - Vega, L. PY - 1988 DA - 1988// TI - Commutator estimates and the Euler and Navier–Stokes equations JO - Commun. Pure Appl. Math. VL - 41 UR - https://doi.org/10.1002/cpa.3160410704 DO - 10.1002/cpa.3160410704 ID - Kenig1988 ER - TY - JOUR AU - Liu, Y. AU - Ahmad, B. AU - Agarwal, R. P. PY - 2013 DA - 2013// TI - Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line JO - Adv. Differ. Equ. VL - 2013 UR - https://doi.org/10.1186/1687-1847-2013-46 DO - 10.1186/1687-1847-2013-46 ID - Liu2013 ER - TY - JOUR AU - Matsumura, A. PY - 1976 DA - 1976// TI - On the asymptotic behavior of solutions of semi-linear wave equations JO - Publ. RIMS VL - 12 UR - https://doi.org/10.2977/prims/1195190962 DO - 10.2977/prims/1195190962 ID - Matsumura1976 ER - TY - JOUR AU - Mohammed Djaouti, A. PY - 2018 DA - 2018// TI - On the benefit of different additional regularity for the weakly coupled systems of semilinear effectively damped waves JO - Mediterr. J. Math. VL - 15 UR - https://doi.org/10.1007/s00009-018-1173-1 DO - 10.1007/s00009-018-1173-1 ID - Mohammed Djaouti2018 ER - TY - STD TI - Mohammed Djaouti, A.: Semilinear systems of weakly coupled damped waves. PhD Thesis, TU Bergakademie Freiberg (2018) ID - ref19 ER - TY - JOUR AU - Mohammed Djaouti, A. AU - Reissig, M. PY - 2018 DA - 2018// TI - Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data JO - Nonlinear Anal. VL - 175 UR - https://doi.org/10.1016/j.na.2018.05.006 DO - 10.1016/j.na.2018.05.006 ID - Mohammed Djaouti2018 ER - TY - CHAP AU - Mohammed Djaouti, A. AU - Reissig, M. ED - D’Abbicco, M. ED - Ebert, M. ED - Georgiev, V. ED - Ozawa, T. PY - 2019 DA - 2019// TI - Weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms and different power nonlinearities BT - New Tools for Nonlinear PDEs and Application. Trends in Mathematics PB - Birkhäuser CY - Cham ID - Mohammed Djaouti2019 ER - TY - JOUR AU - Nakao, M. AU - Ono, K. PY - 1993 DA - 1993// TI - Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations JO - Math. Z. VL - 214 UR - https://doi.org/10.1007/BF02572407 DO - 10.1007/BF02572407 ID - Nakao1993 ER - TY - JOUR AU - Nishihara, K. AU - Wakasugi, Y. PY - 2014 DA - 2014// TI - Critical exponent for the Cauchy problem to the weakly coupled wave system JO - Nonlinear Anal. VL - 108 UR - https://doi.org/10.1016/j.na.2014.06.001 DO - 10.1016/j.na.2014.06.001 ID - Nishihara2014 ER - TY - JOUR AU - Palmieri, A. AU - Reissig, M. PY - 2018 DA - 2018// TI - Semi-linear wave models with power non-linearity and scale invariant time-dependent mass and dissipation II JO - Math. Nachr. VL - 291 UR - https://doi.org/10.1002/mana.201700144 DO - 10.1002/mana.201700144 ID - Palmieri2018 ER - TY - JOUR AU - Pham, D. T. AU - Kainane Mezadek, M. AU - Reissig, M. PY - 2015 DA - 2015// TI - Global existence for semilinear structurally damped σ-evolution models JO - J. Math. Anal. Appl. VL - 431 UR - https://doi.org/10.1016/j.jmaa.2015.06.001 DO - 10.1016/j.jmaa.2015.06.001 ID - Pham2015 ER - TY - BOOK AU - Runst, T. AU - Sickel, W. PY - 1996 DA - 1996// TI - Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations PB - de Gruyter CY - Berlin UR - https://doi.org/10.1515/9783110812411 DO - 10.1515/9783110812411 ID - Runst1996 ER - TY - JOUR AU - Todorova, G. AU - Yordanov, B. PY - 2001 DA - 2001// TI - Critical exponent for a nonlinear wave equation with damping JO - J. Differ. Equ. VL - 174 UR - https://doi.org/10.1006/jdeq.2000.3933 DO - 10.1006/jdeq.2000.3933 ID - Todorova2001 ER - TY - STD TI - Wirth, J.: Asymptotic properties of solutions to wave equations with time-dependent dissipation. PhD Thesis, TU Bergakademie Freiberg (2004) ID - ref28 ER - TY - JOUR AU - Wirth, J. PY - 2007 DA - 2007// TI - Wave equations with time-dependent dissipation II, effective dissipation JO - J. Differ. Equ. VL - 232 UR - https://doi.org/10.1016/j.jde.2006.06.004 DO - 10.1016/j.jde.2006.06.004 ID - Wirth2007 ER - TY - JOUR AU - Zhang, Q. S. PY - 2001 DA - 2001// TI - A blow-up result for a nonlinear wave equation with damping: the critical case JO - C. R. Acad. Sci. Paris, Ser. I VL - 333 UR - https://doi.org/10.1016/S0764-4442(01)01999-1 DO - 10.1016/S0764-4442(01)01999-1 ID - Zhang2001 ER -