Rodríguez Bernal, Aníbal2023-06-192023-06-192014-031534-039210.3934/cpaa.2014.13.635https://hdl.handle.net/20.500.14352/33419We show existence and uniqueness of global solutions for reaction-diffusion equations with almost-monotonic nonlinear terms in L-q(Omega) for each 1 <= q <= infinity. In particular, we do not assume restriction on the growth of the nonlinearites required by the standar local existence theory.engjournal articlehttps://www.aimsciences.org/journals/doIpChk.jsp?paperID=9061&mode=fullhttp://arxiv.org/abs/1212.2826https://www.aimsciences.org/open access517.9Singular initial dataglobal existencestrong solutionscritical exponentsreaction diffusionasymptotic behaviorEcuaciones diferenciales1202.07 Ecuaciones en Diferencias