Energy estimates for a class of degenerate hyperbolic equations

DOI10.1007/S00208-009-0437-2zbMath1196.35146OpenAlexW2028276209MaRDI QIDQ966438

Qing Han

Publication date: 23 April 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0437-2

zbMATH Keywords

energy estimateswell-posednessone space dimension

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (5)

Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ Long time existence for the bosonic membrane in the light cone gauge ⋮ On the local isometric embedding in ℝ³of surfaces with zero sets of Gaussian curvature forming cusp domains ⋮ On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data ⋮ Degenerate hyperbolic equations with lower degree degeneracy

Cites Work

• An example of a weakly hyperbolic Cauchy problem not well posed in \(C^\infty\)
• Local isometric embedding of surfaces with nonpositive Gaussian curvature.
• ON THE LOCAL SOLVABILITY FOR A NONLINEAR WEAKLY HYPERBOLIC EQUATION WITH ANALYTIC COEFFICIENTS
• The cauchy problem for weakly hyperbolic equations of second order
• On the Cauchy problem of degenerate hyperbolic equations
• On the Cauchy Problem forD_t²-D_xa(t,x)D_xin the Gevrey Class of Orders > 2
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