Parabolic Capacity and Soft Measures for Nonlinear Equations

By Jérôme Droniou, Alessio Porretta, A. Prignet. 2003

133 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/45b53157760a724c224629a8610f717d4be19674

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Tomasz Klimsiak
2. Alessio Porretta

In Control and Systems Engineering

1. Alessio Porretta

Citations in the corpus

• Diffuse measures and nonlinear parabolic equations (2011, unknown): “11), is equivalent with the definition for diffuse measures given in [13] (and therefore equivalent with the entropic formulation in [14]).”
• Nonlinear equations with natural growth terms and measure data (2002, background): “()) }) is given in [39] for p = 2 and in [ 27 ] for p 6= 2. In this last paper, it is proved that given B , the set {t = 0} ◊B has zero parabolic capacity in (0,T) ◊ if and only if zero Lebesgue measure.”
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data (2007, unknown): “For a more complete presentation and references, see [6].”
• Dirichlet forms and semilinear elliptic equations with measure data (2012, background): “Let S denote the class of all smooth measures on E (see Section 4 for the definition; in particular every soft measure (see [10]) belongs to S).”