Global well-posedness for a class of semilinear hyperbolic equations with singular potentials on manifolds with conical singularities

DOI10.1007/s00526-022-02316-2zbMath1498.35110OpenAlexW4297236609WikidataQ115385956 ScholiaQ115385956MaRDI QIDQ2079856

Chao Yang, Run-Zhang Xu, Yong-bing Luo

Publication date: 7 October 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-022-02316-2

zbMATH Keywords

mountain pass theoremlocal existence and uniquenessfamily of potential wells

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Variational methods applied to PDEs (35A15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) PDEs on manifolds (35R01)

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