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 [14], and developed in [15,21], on the De Giorgi approach to hyperbolic equations.
An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach / Tentarelli, Lorenzo; Tilli, Paolo. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - (2018). [10.1016/j.jde.2018.10.023]
An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach
Tentarelli, Lorenzo
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2018
Abstract
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 [14], and developed in [15,21], on the De Giorgi approach to hyperbolic equations.| File | Dimensione | Formato | |
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