Publication: Ecuaciones en Derivadas Parciales y Ecuaciones
Diferenciales en Diferencias: Ejercicios
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2008-12
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Ejercicios avanzados resueltos de ecuaciones en derivadas parciales no lineales y ecuaciones diferenciales en diferencias no lineales.
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[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 Analyis 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 quations 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
[16] A Carpio, P Hernando, M Kindelan,
Numerical study of hyperbolic equations with integral constraints arising in
semiconductor theory,
SIAM Journal on Numerical Analysis 39 (1), 168-191, 2001
[17] A Carpio, SJ Chapman, JJL Velázquez,
Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals,
SIAM Journal on Applied Mathematics 61 (6), 2168-2199, 2001
[18] A Carpio, LL Bonilla,
Wave front depinning transition in discrete one-dimensional reaction-diffusion systems,
Physical Review Letters 86 (26), 6034, 2001
[19] G Duro, A Carpio,
Asymptotic profiles for convection–diffusion equations with variable diffusion,
Nonlinear Analysis: Theory, Methods & Applications 45 (4), 407-433, 2001
[20] A Carpio, LL Bonilla, G Dell’Acqua,
Motion of wave fronts in semiconductor superlattices,
Physical Review E 64 (3), 036204, 2001
[21] A Carpio, E Cebrian, FJ Mustieles,
Long time asymptotics for the semiconductor Vlasov-Poisson-Boltzmann equations,
Mathematical Models and Methods in Applied Sciences 11 (09), 1631-1655, 2001
[22] A Carpio, LL Bonilla, A Luzón,
Effects of disorder on the wave front depinning transition in spatially discrete systems,
Physical Review E 65 (3), 035207, 2002
[23] A Carpio,
Wavefronts for discrete two-dimensional nonlinear diffusion equations,
Applied Mathematics Letters 15 (4), 415-421, 2002
[24] A Carpio, LL Bonilla,
Depinning transitions in discrete reaction-diffusion equations,
SIAM Journal on Applied Mathematics 63 (3), 1056-1082, 2003
[25] A Carpio, LL Bonilla,
Pulse propagation in discrete systems of coupled excitable cells,
SIAM Journal on Applied Mathematics 63 (2), 619-635, 2003
[26] A Carpio, LL Bonilla,
Edge dislocations in crystal structures considered as traveling waves in discrete models,
Physical Review Letters 90 (13), 135502, 2003
[27] A Carpio, LL Bonilla,
Oscillatory wave fronts in chains of coupled nonlinear oscillators,
Physical Review E 67 (5), 056621, 2003
[28] A Carpio,
Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators,
Physical Review E 69 (4), 046601, 2004
[29] A Carpio, G Duro,
Instability and collapse in discrete wave equations,
Computational Methods in Applied Mathematics 5 (3), 223-241, 2005
[30] JC Neu, LL Bonilla, A Carpio,
Igniting homogeneous nucleation,
Physical Review E 71 (2), 021601, 2005
[31] A Carpio, LL Bonilla,
Discrete models of dislocations and their motion in cubic crystals,
Physical Review B 71 (13), 134105, 2005
[32] A Carpio,
Asymptotic construction of pulses in the discrete Hodgkin-Huxley model for myelinated nerves,
Physical Review E 72 (1), 011905, 2005
[33] A Carpio,
Wave trains, self-oscillations and synchronization in discrete media,
Physica D: Nonlinear Phenomena 207 (1-2), 117-136, 2005
[34] LL Bonilla, A Carpio, JC Neu, WG Wolfer,
Kinetics of helium bubble formation in nuclear materials,
Physica D: Nonlinear Phenomena 222 (1-2), 131-140, 2006
[35] LL Bonilla, A Carpio, I Plans,
Dislocations in cubic crystals described by discrete models,
Physica A: Statistical Mechanics and its Applications 376, 361-377, 2007
[36] I Plans, A Carpio, LL Bonilla,
Homogeneous nucleation of dislocations as bifurcations in a periodized discrete elasticity model,
EPL (Europhysics Letters) 81 (3), 36001, 2008
[37] A Carpio, ML Rapún,
Topological derivatives for shape reconstruction,
In: Bonilla, L.L. (eds) Inverse Problems and Imaging. Lecture Notes in Mathematics, vol 1943. Springer, Berlin, Heidelberg, 2008
[38] A Carpio, LL Bonilla, F de Juan, MAH Vozmediano,
Dislocations in graphene,
New Journal of Physics 10 (5), 053021, 2008
[39] A Carpio, ML Rapún,
Solving inhomogeneous inverse problems by topological derivative methods,
Inverse Problems 24 (4), 045014, 2008
[40] A Carpio, LL Bonilla,
Periodized discrete elasticity models for defects in graphene,
Physical Review B 78 (8), 085406, 2008
[41] A Carpio, ML Rapún,
Domain reconstruction using photothermal techniques,
Journal of Computational Physics 227 (17), 8083-8106, 2008