Ecuaciones en derivadas parciales avanzadas: Ejercicios

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Ejercicios resueltos de ecuaciones en derivadas parciales no lineales.
[1] A Carpio Rodriguez, M Comte, R Lewandoski, A nonexistence result for a nonlinear equation involving critical Sobolev exponent, Annales de l'Institut Henri Poincaré - Analyse Non linéaire, 9(3), 243-261, 1992 [2] A. Carpio, Sharp estimates of the energy for the solutions of some dissipative second order evolution equations, Potential Analysis 1(3), 265-289, 1992 [3] A. Carpio, Existence de solutions globales rétrogrades pour des équations des ondes non linéaires dissipatives, Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 316(8), 803-808, 1993 [4] A. Carpio, Comportement asymptotique des solutions des équations du tourbillon en dimensions 2 et 3, Comptes rendus de l'Académie des sciences. Série 1, Mathématique, 316(12), 1289-1294, 1993 [5] A. Carpio, Asymptotic behavior for the vorticity equations in dimensions two and three, Communications in partial differential equations 19 (5-6), 827-872, 1994 [6] A. Carpio, Unicite et comportement asymptotique pour des equations de convection-diffusion scalaires, Comptes rendus de l'Académie des sciences. Série 1, Mathématique 319 (1), 51-56, 1994 [7] A. Carpio, Comportement asymptotique dans les equations de Navier-Stokes, Comptes rendus de l'Académie des sciences. Série 1, Mathématique 319 (3), 223-228, 1994 [8] A. Carpio, Existence of global-solutions to some nonlinear dissipative wave-equations, Journal de mathématiques pures et appliquées 73 (5), 471-488, 1994 [9] A. Carpio, Large time behaviour in convection-diffusion equations, Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 23 (3), 551-574, 1996 [10] A. Carpio, Large-time behavior in incompressible Navier-Stokes equations, SIAM Journal on Mathematical Analysis 27 (2), 449-475, 1996 [11] A Carpio, SJ Chapman, SD Howison, JR Ockendon, Dynamics of line singularities, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 355(1731), 2013-2024, 1997 [12] A. Carpio, Long‐time behaviour for solutions of the Vlasov-Poisson-Fokker- Planck equation, Mathematical methods in the applied sciences 21 (11), 985-1014, 1998 [13] A Carpio, SJ Chapman, On the modelling of instabilities in dislocation interactions, Philosophical Magazine B 78 (2), 155-157, 1998 [14] A Carpio, SJ Chapman, S Hastings, JB McLeod, Wave solutions for a discrete reaction-diffusion equation, European Journal of Applied Mathematics 11 (4), 399-412, 2000 [15] A Carpio, LL Bonilla, A Wacker, E Schöll, Wave fronts may move upstream in semiconductor superlattices, Physical Review E 61 (5), 4866, 2000