@article{MTMT:1788522, title = {NONLINEAR HEAT CONDUCTION WITH ABSORPTION: SPACE LOCALIZATION AND EXTINCTION IN FINITE TIME.}, url = {https://m2.mtmt.hu/api/publication/1788522}, author = {Kersner, RĂ³bert}, doi = {10.1137/0143085}, journal-iso = {SIAM J APPL MATH}, journal = {SIAM JOURNAL ON APPLIED MATHEMATICS}, volume = {43}, unique-id = {1788522}, issn = {0036-1399}, abstract = {Additional lower order terms in the nonlinear heat conduction equation can lead to essentially new behavior of the solutions. The statements answer the questions: when the support of the solution is bounded in space and when the solution 'dies' in finite time.}, keywords = {Mathematical Techniques - Differential Equations; Heat Transfer}, year = {1983}, eissn = {1095-712X}, pages = {1274-1285} }