TY - JOUR AU - Bertsch, M AU - Kersner, Róbert AU - Peletier, L A TI - Positivity versus localization in degenerate diffusion equations JF - NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS J2 - NONLINEAR ANAL-THEOR VL - 9 PY - 1985 IS - 9 SP - 987 EP - 1008 PG - 22 SN - 0362-546X DO - 10.1016/0362-546X(85)90081-1 UR - https://m2.mtmt.hu/api/publication/1788521 ID - 1788521 LA - English DB - MTMT ER - TY - JOUR AU - Kersner, Róbert 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 -