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2000 Mathematics Subject Classification: 35K55, 35K60.We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients. We derive sufficient conditions on the nonlinearities and the initial data in order to obtain explicit lower and upper bounds for the blow up time t*.
Marras, M.. "Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients." Serdica Mathematical Journal 37.3 (2011): 227-236. <http://eudml.org/doc/281566>.
@article{Marras2011, abstract = {2000 Mathematics Subject Classification: 35K55, 35K60.We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients. We derive sufficient conditions on the nonlinearities and the initial data in order to obtain explicit lower and upper bounds for the blow up time t*.}, author = {Marras, M.}, journal = {Serdica Mathematical Journal}, keywords = {Parabolic Problems; Blow Up}, language = {eng}, number = {3}, pages = {227-236}, publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences}, title = {Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients}, url = {http://eudml.org/doc/281566}, volume = {37}, year = {2011}, }
TY - JOUR AU - Marras, M. TI - Remarks on blow up time for solutions of a nonlinear diffusion system with time dependent coefficients JO - Serdica Mathematical Journal PY - 2011 PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences VL - 37 IS - 3 SP - 227 EP - 236 AB - 2000 Mathematics Subject Classification: 35K55, 35K60.We investigate the blow-up of the solutions to a nonlinear parabolic system with Robin boundary conditions and time dependent coefficients. We derive sufficient conditions on the nonlinearities and the initial data in order to obtain explicit lower and upper bounds for the blow up time t*. LA - eng KW - Parabolic Problems; Blow Up UR - http://eudml.org/doc/281566 ER -