On thefree boundary for quenching type parabolic problems via local energy methods
Jesús Ildefonso Díaz Díaz · Communications on Pure & Applied Analysis · 2014
We extend some previous local energy method to the study the free boundary generated by the solutions of quenching type parabolic problems involving a negative power of the unknown in the equation.2000 Mathematics Subject Classification.35K55, 35K67, 35K65.Key words and phrases.Quenching type parabolic equations, free boundary, local energy methods, interpolation inequalities, instantaneous shrinking of the support.