Traveling waves of dissipative nonautonomous hyperbolic equations in a strip

Advances in Differential Equations

Volumn 3, Issue 2, 1998, Pages 249-270

  Pata, Vittorino ^a   Prouse, Giovanni ^b   Vishik, Mark I ^c  

^a UNIVERSITY OF BRESCIA   (Italy)

^b POLITECNICO DI MILANO   (Italy)

^c INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001410999     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. L. Amerio and G. Prouse, Uniqueness and almost-periodicity theorems for a non linear wave equation, Rend. Acc. Naz. Lincei, 46 (1969) 1-8.
2. L. Amerio and G. Prouse, "Abstract Almost Periodic Functions and Functional Equations," Van Nostrand, New York, 1971.
3. A.V. Babin and M.I. Vishik, "Attractors of Evolution Equations," North-Holland, Amsterdam, 1992.
4. H. Brézis, "Operateurs Maximaux Monotones," North-Holland, Amsterdam, 1973.
5. V.V. Chepyzhov and M.I. Vishik, Nonautonomous evolution equations and their attractors, Russian J. Math. Phys., 1 (1993) 165-190.
6. V.V. Chepyzhov and M.I. Vishik, Attractors of non-autonomous dynamical systems and their dimension, J. Math. Pures Appl., 73 (1994) 279-333.
7. V.V. Chepyzhov and M.I. Vishik, Trajectory attractors for evolution equations, C.R. Acad. Sci. Paris Sér I Math., 321 (1995) 153-158.
8. R.E. Collin, "Foundations of Microwave Engineering," McGraw-Hill, New York, 1966.
9. A. Haraux, "Syst`emes Dynamiques Dissipatifs et Applications," Masson, Paris, 1990.
10. J.L. Lions, "Quelques méthodes de résolutions des probl`emes aux limites non linéaires," Dunod Gauthier-Villars, Paris, 1969.
11. G. Prouse, Soluzioni quasi-periodiche dell' equazione non omogenea della membrana vibrante con termine dissipativo quadratico I, Rend. Acc. Naz. Lincei, 37 (1964) 246-252.
12. G. Prouse, Soluzioni quasi-periodiche dell' equazione non omogenea della membrana vibrante con termine dissipativo quadratico II, Rend. Acc. Naz. Lincei, 37 (1964) 365-370.
13. G. Prouse, Mathematical models in fluid dynamics and variational inequalities, Proc. Sem. on Free Boundary Problems, Pavia, 1979.
14. S. Rao, J.R. Whinnery, and T. Van Duzer, "Fields and Waves in Communications Electronics," Wiley & Sons, New York, 1965.
15. R. Temam, "Infinite-Dimensional Dynamical Systems in Mechanics and Physics," Springer-Verlag, New York, 1988.
16. J.J. Stoker, "Water Waves," Interscience, New York, 1957.