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- W2114377876 abstract "Let 0 0g i i u ifl + ‚f(x;u) ¢ in › with Dirichlet boundary condition on @› has a maximal solution u‚ ‚ 0 for every ‚ > 0. For ‚ less than a constant ‚ ⁄ the solution vanishes inside the domain and for ‚ > ‚ ⁄ the solution is positive and stable. We obtain optimal regularity of u‚ even in the presence of a free boundary. If ‚ ‚ ‚ ⁄ the solutions of the singular parabolic equation ut i ¢u + u ifl = ‚f(u) are positive and globally defined while for 0 0g i i u ifl + ‚f(x;u) ¢ en › con condicide borde tipo Dirichlet. Esta ecuaci ´ on posee una soluci´ on maximal u‚ ‚ 0 para todo ‚ > 0. Si ‚ es menor que una cierta constante ‚ ⁄ , u‚ se anula en el interior del dominio creando una frontera libre, y para ‚ > ‚ ⁄ esta solucies positiva en › y estable. Establecemos la regularidad de u‚ incluso en presencia de una frontera libre. Para ‚ ‚ ‚ ⁄ la solucidel problema parabsingular ut i ¢u + u ifl = ‚f(u) es global y positiva mientras que si 0 < ‚ < ‚ ⁄ no existe soluciglobal positiva." @default.
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- W2114377876 date "2003-01-01" @default.
- W2114377876 modified "2023-10-15" @default.
- W2114377876 title "A singular equation with positive and free boundary solutions" @default.
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