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Formulas for generalized principal Lyapunov exponent for parabolic PDEs
| 1. | Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, PL-50-370 Wrocław |
| 2. | Department of Mathematics & Statistics, Auburn University, Auburn, AL 36849 |
References:
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C. D. Aliprantis and K. C. Border, Infinite Dimensional Analysis. A Hitchhiker's Guide, third edition, Springer, Berlin, 2006. |
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J. Diestel and J. J. Uhl, Jr., Vector Measures, with a foreword by B. J. Pettis, Mathematical Surveys, No. 15, American Mathematical Society, Providence, R.I., 1977. |
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L. C. Evans, Partial Differential Equations, Grad. Stud. Math., 19, American Mathematical Society, Providence, R.I., 1998. |
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U. Krengel, Ergodic Theorems, Walter de Gruyter, Berlin, 1985.
doi: 10.1515/9783110844641. |
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J. Mierczyński, Estimates for principal Lyapunov exponents: A survey, Nonautonomous Dynamical Systems, 1 (2014), 137-162. |
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J. Mierczyński and W. Shen, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications, Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, Chapman & Hall/CRC, Boca Raton, FL, 2008.
doi: 10.1201/9781584888963. |
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J. Mierczyński and W. Shen, Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory, Trans. Amer. Math. Soc., 365 (2013), 5329-5365.
doi: 10.1090/S0002-9947-2013-05814-X. |
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J. Mierczyński and W. Shen, Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. Parabolic equations and delay systems, J. Dynam. Differential Equations, 28 (2016), 1039-1079.
doi: 10.1007/s10884-015-9436-z. |
show all references
References:
| [1] |
C. D. Aliprantis and K. C. Border, Infinite Dimensional Analysis. A Hitchhiker's Guide, third edition, Springer, Berlin, 2006. |
| [2] |
J. Diestel and J. J. Uhl, Jr., Vector Measures, with a foreword by B. J. Pettis, Mathematical Surveys, No. 15, American Mathematical Society, Providence, R.I., 1977. |
| [3] |
L. C. Evans, Partial Differential Equations, Grad. Stud. Math., 19, American Mathematical Society, Providence, R.I., 1998. |
| [4] |
U. Krengel, Ergodic Theorems, Walter de Gruyter, Berlin, 1985.
doi: 10.1515/9783110844641. |
| [5] |
J. Mierczyński, Estimates for principal Lyapunov exponents: A survey, Nonautonomous Dynamical Systems, 1 (2014), 137-162. |
| [6] |
J. Mierczyński and W. Shen, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications, Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, Chapman & Hall/CRC, Boca Raton, FL, 2008.
doi: 10.1201/9781584888963. |
| [7] |
J. Mierczyński and W. Shen, Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory, Trans. Amer. Math. Soc., 365 (2013), 5329-5365.
doi: 10.1090/S0002-9947-2013-05814-X. |
| [8] |
J. Mierczyński and W. Shen, Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. Parabolic equations and delay systems, J. Dynam. Differential Equations, 28 (2016), 1039-1079.
doi: 10.1007/s10884-015-9436-z. |
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