Distribution Theory Applied to Differential Equations

Introduction.- Preliminaries.- Convex and Lower-semicontinuous Functions.- The Subdifferential of a Convex Function.- Evolution Equations.- Distributions.- Tempered Distributions.- Differential Equations in Distributions.- Sobolev Spaces.- Variational Problems.- On Some Spaces of Distributions.- On Some Di?erential Operators.

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• Probabilidade e Estatística
• Estocástica
• Geometria
• A matemática discreta
• Mecânica clássica
• Engenharia mecânica
• Cálculo diferencial e equações

Sobolev Space;Variational Formulation;Tempered Distributions;Subdifferential;Evolution Equations;Differential Operators;Convex Functions;Weak Solutions;Finite Element Method;Lower-semicontinuous Functions