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math.AP2016
Green's function and infinite-time bubbling in the critical nonlinear heat equation
Carmen Cortazar, Manuel del Pino, Monica Musso
Let be a smooth bounded domain in , . We consider the semilinear heat equation at the critical Sobolev exponent $$ u_t = Δu + u^{\frac{n+2}{n-2}} \inn Ω\times (0,…
math.AP2016
Near field asymptotic behavior for the porous medium equation on the half-line
Carmen Cortázar, Fernando Quirós, Noemí Wolanski
Kamin and Vázquez proved in 1991 that solutions to the Cauchy-Dirichlet problem for the porous medium equation on the half line with zero boundary data and nonnega…