TY - JOUR AU - Kersner, RĂ³bert TI - NONLINEAR HEAT CONDUCTION WITH ABSORPTION: SPACE LOCALIZATION AND EXTINCTION IN FINITE TIME. JF - SIAM JOURNAL ON APPLIED MATHEMATICS J2 - SIAM J APPL MATH VL - 43 PY - 1983 IS - 6 SP - 1274 EP - 1285 PG - 12 SN - 0036-1399 DO - 10.1137/0143085 UR - https://m2.mtmt.hu/api/publication/1788522 ID - 1788522 AB - 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. LA - English DB - MTMT ER -