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The author studies by the local energy method the compactness of the support of the solutions to nonlinear elliptic or parabolic equations (in this last case also the Stefan-like case is considered).texto impreso
The authors consider first-order equations in "conservation laws'' form perturbed by a semilinear nonlinearity of monotone type. The known existence and uniqueness results for conservation laws—results due to Kruzhkov—are easily adapted to this [...]texto impreso
This paper is a study of some vanishing properties of weak solutions to nonlinear elliptic and parabolic equations. Instead of using monotonicity arguments, the method of proof is based on an energy method.
