M. Adimy and F. Crauste, Un mod??le non-lin??aire de prolif??ration cellulaire : extinction des cellules et invariance, Comptes Rendus Mathematique, vol.336, issue.7, pp.559-564, 2003.
DOI : 10.1016/S1631-073X(03)00125-0
URL : http://arxiv.org/abs/0904.2471

H. T. Banks and F. Kappel, Transformation semigroups andL 1-approximation for size structured population models, Semigroup Forum, vol.25, issue.1, pp.141-155, 1988.
DOI : 10.1007/BF02573227

D. Barbolosi, A. Benabdallah, F. Hubert, and F. Verga, Mathematical and numerical analysis for a model of growing metastatic tumors, Mathematical Biosciences, vol.218, issue.1, pp.1-14, 2009.
DOI : 10.1016/j.mbs.2008.11.008
URL : https://hal.archives-ouvertes.fr/hal-00262335

C. Bardos, Probl??mes aux limites pour les ??quations aux d??riv??es partielles du premier ordre ?? coefficients r??els; th??or??mes d'approximation; application ?? l'??quation de transport, Annales scientifiques de l'??cole normale sup??rieure, vol.3, issue.2, pp.185-233, 1970.
DOI : 10.24033/asens.1190
URL : http://www.numdam.org/article/ASENS_1970_4_3_2_185_0.pdf

F. Billy, B. Ribba, O. Saut, H. Morre-trouilhet, T. Colin et al., A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy, Journal of Theoretical Biology, vol.260, issue.4, pp.545-62, 2009.
DOI : 10.1016/j.jtbi.2009.06.026
URL : https://hal.archives-ouvertes.fr/inria-00440447

M. Cessenat, Théorèmes de trace L p pour des espaces de fonctions de la neutronique, C. R. Acad. Sci. Paris Sér. I Math, vol.299, issue.16, pp.831-834, 1984.

M. Cessenat, Théorèmes de trace pour des espaces de fonctions de la neutronique, C. R. Acad. Sci. Paris Sér. I Math, vol.300, issue.3, pp.89-92, 1985.

J. Demailly, Numerical analysis and differential equations. (Analyse numérique etéquationsetéquations différentielles, 1996.

A. Devys, T. Goudon, and P. Laffitte, A model describing the growth and the size distribution of multiple metastatic tumors, Discrete and Continuous Dynamical Systems - Series B, vol.12, issue.4, 2009.
DOI : 10.3934/dcdsb.2009.12.731
URL : https://hal.archives-ouvertes.fr/inria-00351489

A. Onofrio and A. Gandolfi, Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999), Mathematical Biosciences, vol.191, issue.2, pp.159-184, 1999.
DOI : 10.1016/j.mbs.2004.06.003

M. Doumic, Analysis of a Population Model Structured by the Cells Molecular Content, Mathematical Modelling of Natural Phenomena, vol.2, issue.3, pp.121-152, 2007.
DOI : 10.1051/mmnp:2007006
URL : https://hal.archives-ouvertes.fr/hal-00327131

J. Droniou, Quelques résultats sur les espaces de sobolev, 2001.

J. M. Ebos, C. R. Lee, W. Crus-munoz, G. A. Bjarnason, and J. G. Christensen, Accelerated Metastasis after Short-Term Treatment with a Potent Inhibitor of Tumor Angiogenesis, Cancer Cell, vol.15, issue.3, pp.232-239, 2009.
DOI : 10.1016/j.ccr.2009.01.021

N. Echenim, D. Monniaux, M. Sorine, and F. Clément, Multi-scale modeling of the follicle selection process in the ovary, Mathematical Biosciences, vol.198, issue.1, pp.57-79, 2005.
DOI : 10.1016/j.mbs.2005.05.003
URL : https://hal.archives-ouvertes.fr/inria-00343961

K. Engel, R. Nagel, and R. Schnaubelt, One-parameter semigroups for linear evolution equations, volume 194 of Graduate Texts in Mathematics, 2000.

P. Hahnfeldt, D. Panigraphy, J. Folkman, and L. Hlatky, Tumor development under angiogenic signaling : a dynamical theory of tumor growth, treatment, response and postvascular dormancy, Cancer Research, vol.59, pp.4770-4775, 1999.

K. Iwata, K. Kawasaki, and N. Shigesada, A Dynamical Model for the Growth and Size Distribution of Multiple Metastatic Tumors, Journal of Theoretical Biology, vol.203, issue.2, pp.177-186, 2000.
DOI : 10.1006/jtbi.2000.1075

A. G. Mckendrick, Applications of Mathematics to Medical Problems, Proc. Edin, pp.98-130, 1926.
DOI : 10.1038/104660a0

P. Michel, S. Mischler, and B. Perthame, General relative entropy inequality: an illustration on growth models, Journal de Math??matiques Pures et Appliqu??es, vol.84, issue.9, pp.1235-1260, 2005.
DOI : 10.1016/j.matpur.2005.04.001

B. Perthame, Transport equations in biology, Frontiers in Mathematics. Birkhäuser Verlag, 2007.

B. Perthame and S. K. Tumuluri, Nonlinear Renewal Equations, Selected topics in cancer modeling, pp.65-96, 2008.
DOI : 10.1007/978-0-8176-4713-1_4

B. Ribba, O. Saut, T. Colin, D. Bresch, E. Grenier et al., A multiscale mathematical model of avascular tumor growth to investigate the therapeutic benefit of anti-invasive agents, Journal of Theoretical Biology, vol.243, issue.4, pp.532-541, 2006.
DOI : 10.1016/j.jtbi.2006.07.013
URL : https://hal.archives-ouvertes.fr/hal-00428053

J. Serrin and D. E. Varberg, A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral, The American Mathematical Monthly, vol.76, issue.5, pp.514-520, 1969.
DOI : 10.2307/2316959

L. Tartar, An introduction to Sobolev spaces and interpolation spaces, of Lecture Notes of the Unione Matematica Italiana, 2007.

S. L. Tucker and S. O. Zimmerman, A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables, SIAM Journal on Applied Mathematics, vol.48, issue.3, pp.549-591, 1988.
DOI : 10.1137/0148032

G. F. Webb, Theory of nonlinear age-dependent population dynamics, of Monographs and Textbooks in Pure and Applied Mathematics, 1985.