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Cazenave T., Equations de Schrödinger non
linéaires en dimension deux,
Proc. Royal Soc. Edinburgh Sect. A
84 (1979), no. 3-4, 327-346.
Cazenave T. and Haraux A., Equations d'évolution avec non-linéarité logarithmique, Ann. Fac. Sci. Toulouse Math. 2 (1980), no. 1, 21-51. pdf Berestycki H. and Cazenave T., Instabilité des états stationaires dans les équations de Schrödinger et de Klein-Gordon non linéaires, C. R. Acad. Sci. Paris Sér. I Math. 293 (1981), no. 9, 489-492. Cazenave T. and Lions P.-L., Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm. Math. Phys. 85 (1982), no. 4, 549-561. pdf Cazenave T., Stable solutions of the logarithmic Schrödinger equation, Nonlinear Anal. 7 (1983), no. 10, 1127-1140. pdf Berestycki H. and Cazenave T., Instability of stationary states in nonlinear Schrödinger and Klein-Gordon equations, Publications du Laboratoire d'Analyse Numérique 84001 (1984). pdf Cazenave T. and Lions P.-L., Solutions globales d'équations de la chaleur semi linéaires, Comm. Partial Differential Equations 9 (1984), no. 10, 955-978. pdf Cazenave T., Uniform estimates for solutions of nonlinear Klein-Gordon equations, J. Funct. Anal. 60 (1985), no. 1, 36-55. pdf Cazenave T. and Vázquez L., Existence of localized solutions for a nonlinear classical Dirac field, Comm. Math. Phys. 105 (1986), no. 1, 35-47. pdf Cazenave T. and Haraux A., Oscillatory phenomena associated to semilinear wave equations in one spatial dimension, Trans. Amer. Math. Soc. 300 (1987), no. 1, 207-233. pdf Cazenave T. and Haraux A., Some oscillation properties of the wave equation in several space dimensions, J. Funct. Anal. 76 (1988), no. 1, 87-109. pdf Cazenave T. and Weissler F.B., The Cauchy problem for the nonlinear Schrödinger equation in H1, Manuscripta Math. 61 (1988), no. 4, 477-494. pdf Balabane M., Cazenave T., Douady A. and Merle F., Existence of excited states for a nonlinear Dirac field, Comm. Math. Phys. 119 (1988), no. 1, 153-176. pdf Cazenave T. and Esteban M.J., On the stability of stationary states for nonlinear Schrödinger equations with an external magnetic field, Mat. Apl. Comput. 7 (1988), no. 3, 155-168. pdf Cazenave T., Haraux A., Vázquez L. and Weissler F.B., Nonlinear effects in the wave equation with a cubic restoring force, Comp. Mech. 5 (1989), 49-72. pdf Cazenave T. and Weissler F.B., Some remarks on the nonlinear Schrödinger equation in the critical case, in Nonlinear Semigroups, Partial Differential Equations, and Attractors, T.L. Gill and W.W. Zachary (eds.), Lecture Notes in Math. 1394, Springer, New York, 1989, 18-29. pdf Cazenave T., An introduction to nonlinear Schrödinger equations, Textos de Métodos Matemáticos 22, I.M.U.F.R.J., Rio de Janeiro, 1989. Cazenave T. and Weissler F.B., The Cauchy problem for the critical nonlinear Schrödinger equation in Hs, Nonlinear Anal. 14 (1990), no. 10, 807-836. pdf Cazenave T. and Haraux A., Introduction aux problèmes d'évolution semi-linéaires , Mathématiques et Applications 1, Ellipses, Paris, 1990. Balabane M., Cazenave T. and Vázquez L., Existence of standing waves for Dirac fields with singular nonlinearities, Comm. Math. Phys. 133 (1990), no. 1, 53-74. pdf Cazenave T. and Weissler F.B., The structure of solutions to the pseudo-conformally invariant nonlinear Schrödinger equation, Proc. Royal Soc. Edinburgh Sect. A 117 (1991), no. 3-4, 251-273. Cazenave T. and Weissler F.B., Rapidly decaying solutions of the nonlinear Schrödinger equation, Comm. Math. Phys. 147 (1992), no. 1, 75-100. pdf Cazenave T., Haraux A. and Weissler F.B., A class of nonlinear completely integrable abstract wave equations, J. Dynam. Differential Equations 5 (1993), no. 1, 129-154. pdf Cazenave T., Haraux A. and Weissler F.B., Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom, J. Dynam. Differential Equations 5 (1993), no. 1, 155-187. pdf Cazenave T. and Escobedo M., A two parameter shooting problem for a second order differential equation, J. Differential Equations 113 (1994), no. 2, 418-451. pdf Cazenave T., Blow up and scattering in the nonlinear Schrödinger equation , Textos de Métodos Matemáticos 30, I.M.U.F.R.J., Rio de Janeiro, 1994. Cazenave T. and Weissler F.B., Asymptotically periodic solutions for a class of nonlinear coupled oscillators, Portugal. Math. 52 (1995), no. 1, 109-123. pdf Cazenave T. and Weissler F.B., Unstable simple modes of the nonlinear string, Quart. Appl. Math. 54 (1996), no. 2, 287-305. Cazenave T. and Dickstein F., On the initial value problem for a linear model of well-reservoir coupling, Nonlinear World 3 (1996), no. 3, 567-587. pdf Brezis H., Cazenave T., Martel Y. and Ramiandrisoa A., Blow up for ut-Δu=g(u) revisited, Adv. Differential Equations 1 (1996), no. 1, 73-90. Brezis H. and Cazenave T., A nonlinear heat equation with singular initial data, J. Anal. Math. 68 (1996), 277-304. pdf Cazenave T., Dickstein F. and Kavian O., A parameter determination problem for a linear model of well-reservoir coupling, Mat. Contemp. 10 (1996), 87-97. pdf Cazenave T., Shatah J. and Shadi Tahvildar Zadeh A., Harmonic maps of the Hyperbolic space and development of singularities in wave maps and Yang-Mills fields, Ann. Inst. H. Poincaré Phys. Théor. 68 (1998), no. 3, 315-349. pdf Cazenave T. and Dickstein F., Implicit finite difference schemes for a linear model of well-reservoir coupling, IMA J. Numer. Anal. 18 (1998), no. 1, 91-120. pdf Cazenave T. and Weissler F.B., Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations, Math. Z. 228 (1998), no. 1, 83-120. pdf Cazenave T. and Haraux A., An introduction to semilinear evolution equations , Oxford Lecture Series in Mathematics and its Applications 13, Oxford University Press, Oxford, 1998. Cazenave T. and Weissler F.B., More self-similar solutions of the nonlinear Schrödinger equation, NoDEA Nonlinear Differential Equations Appl. 5 (1998), no. 3, 355-365. pdf Cazenave T., Dickstein F. and Escobedo M., A semilinear heat equation with concave-convex nonlinearity, Rend. Mat. Appl. (7) 19 (1999), no. 2, 211-242. pdf Cazenave T. and Weissler F.B., Scattering theory and self-similar solutions for the nonlinear Schrödinger equation, SIAM J. Math. Anal. 31 (2000), no. 3, 625-650. pdf Cazenave T. and Dickstein F., On the influence of boundary conditions on flows in porous media, J. Math. Anal. Appl. 253 (2001), no. 1, 79-106. pdf Cazenave T., Vega L. and Vilela M.C., A note on the nonlinear Schrödinger equation in weak Lp spaces, Commun. Contemp. Math. 3 (2001), no. 1, 153-162. pdf Cazenave T., Dickstein F., Escobedo M. and Weissler F.B., Self-similar solutions of a nonlinear heat equation, J. Math. Sci. Univ. Tokyo 8 (2001), no. 3, 501-540. pdf Cazenave T., Escobedo M. and Pozio M.A., Some stability properties for minimal solutions of -Δu=λg(u), Portugal. Math . 59 (2002), no. 4, 373-391. pdf Cazenave T., Dickstein F. and Weissler F.B., Universal solutions of the heat equation, Discrete Cont. Dyn. Systems 9 (2003), no. 5, 1105-1132. pdf Cazenave T., Dickstein F. and Weissler F.B., Universal solutions of a nonlinear heat equation, Ann. Scuola Norm. Sup. Pisa, Cl. Sci (5) 2 (2003), no. 1, 77-117. pdf Cazenave T., Semilinear Schrödinger equations, Courant Lecture Notes in Mathematics, 10. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 2003. 323 pp. ISBN: 0-8218-3399-5. Cazenave T., Dickstein F. and Weissler F.B., Chaotic behavior of solutions of the Navier-Stokes system in RN, Adv. Differential Equations 10 (2005), no. 4, 361-398. Cazenave T., Dickstein F. and Weissler F.B., A solution of the heat equation with a continuum of decay rates, in Elliptic and parabolic problems: A special tribute to the work of Haïm Brezis, Progress in Nonlinear Differential Equations and their Applications 63. Birkhäuser Verlag, Basel, 2005, 135-138. pdf Cazenave T., Dickstein F. and Weissler F.B., Multiscale asymptotic behavior of a solution of the heat equation in RN, in Nonlinear Differential Equations: A Tribute to D. G. de Figueiredo , Progress in Nonlinear Differential Equations and their Applications 66. Birkhäuser Verlag, Basel, 2005, 185-194. pdf Cazenave T., Dickstein F. and Weissler F.B., A solution of the constant coefficient heat equation in R with exceptional asymptotic behavior: an explicit construction, J. Math. Pures Appl. 85 (2006), no. 1, 119-150. pdf Cazenave T. and Weissler F.B., Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations, Indiana Univ. Math. J. 55 (2006), no. 1, 75-118. pdf Cazenave T., An introduction to semilinear elliptic equations, Editora do IM-UFRJ, Rio de Janeiro, 2006. ix+193 pp. ISBN: 85-87674-13-7. pdf Cazenave T., Dickstein F. and Weissler F.B., Nonparabolic asymptotic limits of solutions of the heat equation on RN, J. Dynam. Differential Equations 19, (2007), no. 3, 789-818. pdf Cazenave T., Dickstein F. and Weissler F.B., An equation whose Fujita critical exponent is not given by scaling, Nonlinear Anal. 68, (2008), no. 4, 862-874. pdf Cazenave T., Dickstein F. and Weissler F.B., Global existence and blowup for sign-changing solutions of the nonlinear heat equation, J. Differential Equations 344 (2009), no. 7, 2669-2680. pdf Cazenave T., Dickstein F. and Weissler F.B., Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball, Math. Ann 246 (2009), no. 2, 431-449. pdf Cazenave T., Dickstein F. and Weissler F.B., On the structure of global solutions of the nonlinear heat equation in a ball, J. Math. Anal. Appl. 360 (2009), no. 2, 537-547. pdf Xie J., Zhang L. and Cazenave T., A note on decay rates for Schrödinger's equation, Proc. Amer. Math. Soc. 138 (2010), no. 1, 199-207. pdf Cazenave T. and Scialom M., A Schrödinger equation with time-oscillating nonlinearity, Rev. Mat. Univ. Complut. Madrid 23 (2010), no. 2, 321-339. pdf Cazenave T., Dickstein F. and Weissler F.B., Structural properties of the set of global solutions of the nonlinear heat equation, in Current Advances in Nonlinear Analysis and Related Topics, 13--23, GAKUTO Internat. Ser. Math. Sci. Appl. 32, Gakkotosho, Tokyo, 2010. pdf Cazenave T., Dickstein F. and Weissler F.B., Spectral properties of stationary solutions of the nonlinear heat equation, Publ. Mat. 55 (2011), no. 1, 185-200. pdf Cazenave T., Fang D. and Han Z., Continuous dependence for NLS in fractional order spaces, Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 1, 135-147. pdf Fang D., Xie J. and Cazenave T., Multiscale asymptotic behavior of the Schrödinger equation, Funk. Ekva. 54 (2011), no. 1, 69-94. pdf Fang D., Xie J. and Cazenave T., Scattering for the focusing, energy-subcritical nonlinear Schrödinger equation, Sci. China Math. 54 (2011), no. 10, 2037-2062. pdf Cazenave T., Dickstein F. and Weissler F.B., Multi-scale multi-profile global solutions of parabolic equations in RN, Discrete Contin. Dyn. Syst. Ser. S. 5 (2012), no. 3, 449-472. pdf |