Herrero, Miguel A.Vázquez, Juan Luis2023-06-202023-06-201988-080022-039610.1016/0022-0396(88)90003-4https://hdl.handle.net/20.500.14352/57774We discuss the existence of travelling-wave solutions with interfaces for the nonlinear heat equation with absorption ut = a(um)xx – bu(n) with a, b> 0 and m, n Є R. Several situations occur depending on the relative strength of the diffusion and absorption terms reflected by their exponents m and n. We characterize the existence of finite travelling waves in terms of m and n, show their uniqueness up to translations in space and time, and derive their velocity from the wave profile near the interface or front.engjournal articlehttp://www.sciencedirect.com/science/article/pii/0022039688900034http://www.sciencedirect.comrestricted access517.9517.956.4536.2Absorbing mediatravelling-waveexistenceuniquenessasymptotic behaviorEcuaciones diferenciales1202.07 Ecuaciones en Diferencias