Maxwell-systems with nonlinear polarization

Nonlinear Analysis: Real World Applications

Volumn 4, Issue 3, 2003, Pages 483-501

  Banks, H T ^a   Pinter, Gabriella A ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037412060     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1468-1218(02)00074-3     Document Type: Article

References (17)

1. H.T. Banks, M.W. Buksas, T. Lin, Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts, SIAM Frontiers in Applied Mathematics, Philadelphia, 2000.
2. H.T. Banks, D.S. Gilliam, V.I. Shubov, Global solvability for damped abstract nonlinear hyperbolic systems, Differential Integral Equations 10 (1997) 309-332.
3. H.T. Banks, K. Ito, Y. Wang, Well-posedness for damped second order systems with unbounded input operators, CRSC-TR93-10, NCSU, June 1993, Differential Integral Equations 8 (1995) 587-606.
4. H.T. Banks, R.C. Smith, Y. Wang, Smart Material Structures, Modeling, Estimation and Control, Masson/Wiley, Paris/Chichester, 1996.
5. F. Bloom, Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory, J. Math. Anal. Appl. 73 (1980) 524-542.
6. R.W. Boyd, Nonlinear Optics, Academic Press, San Diego, 1992.
7. P. Günter (Ed.), Nonlinear Optical Effects and Materials, Springer, Berlin, 2000.
8. I. Kurbanov, Solvability of the linear Maxwell equations with memory, Ukr. Mat. J. 43 (1991) 619-635.
9. J.L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer, New York, 1971.
10. A. Milani, R. Picard, Evolution equations with nonlinear constitutive laws and memory effects, Differential Integral Equations 15 (2002) 327-344.
11. D.L. Mills, Nonlinear Optics, Springer, Berlin, 1991.
12. A.W. Naylor, G.R. Sell, Linear Operator Theory in Engineering and Science, Springer, New York, 1982.
13. A.C. Newell, J.V. Moloney, Nonlinear Optics, Addison-Wesley, Redwood City, 1991.
14. J. Prüss, Evolutionary Integral Equations and Applications, Birkhäuser, Basel, 1993.
15. Y.R. Shen, Principles of Nonlinear Optics, Wiley, New York, 1984.
16. C. Sulem, P.-L. Sulem, The Nonlinear Schrödinger Equation, Self-Focusing and Wave Collapse, Springer, New York, 1999.
17. J. Wloka, Partial Differential Equations, Cambridge University Press, Cambridge, 1992.