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arxiv: 1804.11107 · v2 · pith:OIDE5VBSnew · submitted 2018-04-30 · 🧮 math.AP · math.FA

An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach

Lorenzo Tentarelli , Paolo Tilli This is my paper
classification 🧮 math.AP math.FA
keywords approachequationshyperbolictillidissipativenonhomogeneousserraterm
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We discuss a purely variational approach to the study of a wide class of second order nonhomogeneous dissipative hyperbolic PDEs. Precisely, we focus on the wave-like equations that present also a nonzero source term and a first-order-in-time linear term. The paper carries on the research program initiated in (Serra&Tilli'12), and developed in (Serra&Tilli'16), (Tentarelli&Tilli '18), on the De Giorgi approach to hyperbolic equations.

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