Accession Number : ADA153521


Title :   The Cauchy Problem for Ut = Delta u(m) When 0 m 1.


Descriptive Note : Technical summary rept.,


Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER


Personal Author(s) : Herrero,M A ; Pierre,M


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a153521.pdf


Report Date : Jan 1985


Pagination or Media Count : 28


Abstract : This paper deals with the Cauchy problem for the nonlinear diffusion equation (fast diffusion case). We prove that there exists a global time solution for any locally integrable function u sub o: hence, no growth condition at infinity for u sub o is required. Moreover the solution is shown to be unique in that class. Keywords; Cauchy problem, nonlinear diffusion, initial-value problem, regularizing effects.


Descriptors :   *CAUCHY PROBLEM ,


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE