Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types

DOI10.1215/S0012-7094-04-12722-8zbMath1078.35078OpenAlexW2008063830MaRDI QIDQ1781950

Kevin R. Payne, Daniela Lupo

Publication date: 9 June 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-04-12722-8

zbMATH Keywords

rotationuniquenessconservation lawsymmetry groupsdilationtranslationsymmetry groupinversionTricomi type equation

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (14)

Liouville theorem, conformally invariant cones and umbilical surfaces for Grushin-type metrics ⋮ On the Strauss index of semilinear Tricomi equation ⋮ On semilinear Tricomi equations with critical exponents or in two space dimensions ⋮ The weighted \(W^{2,p}\) estimate on the solution of the Gellerstedt equation in the upper half space ⋮ Nonexistence for mixed-type equations with critical exponent nonlinearity in a ball ⋮ Positive solutions of anisotropic Yamabe-type equations in $\mathbb {R}^n$ ⋮ Singular metrics and associated conformal groups underlying differential operators of mixed and degenerate types ⋮ Variational equations on mixed Riemannian-Lorentzian metrics ⋮ On the global weak solution problem of semilinear generalized Tricomi equations. II ⋮ Minimal regularity solutions of semilinear generalized Tricomi equations ⋮ On the degenerate hyperbolic Goursat problem for linear and nonlinear equations of Tricomi type ⋮ A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type ⋮ L²ESTIMATES FOR THE EIGENFUNCTIONS CORRESPONDING TO REAL EIGENVALUES OF THE TRICOMI OPERATOR ⋮ Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations

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