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Mathematics > Analysis of PDEs

arXiv:1804.11107 (math)
[Submitted on 30 Apr 2018 (v1), last revised 25 Oct 2018 (this version, v2)]

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

Authors:Lorenzo Tentarelli, Paolo Tilli
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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 (Serra&Tilli'12), and developed in (Serra&Tilli'16), (Tentarelli&Tilli '18), on the De Giorgi approach to hyperbolic equations.
Comments: 21 pages; keywords: minimization, nonhomogeneous hyperbolic equations, dissipation, De Giorgi conjecture
Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)
MSC classes: 35L70, 35L71, 35L75, 35L76, 35L90, 35L15, 49J45
Cite as: arXiv:1804.11107 [math.AP]
  (or arXiv:1804.11107v2 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.11107
Journal reference: J. Differential Equations 266 (2019), no. 8, 5185-5208
Related DOI: https://doi.org/10.1016/j.jde.2018.10.023

Submission history

From: Lorenzo Tentarelli [view email]
[v1] Mon, 30 Apr 2018 10:03:07 UTC (16 KB)
[v2] Thu, 25 Oct 2018 19:11:06 UTC (19 KB)
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