On Submanifolds with 2-Type Pseudo-Hyperbolic Gauss Map in Pseudo-Hyperbolic Space
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DOI: 10.1007/s00009-016-0819-0
Abstract: In this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic space $$\mathbb H^{m-1}_s (-1) \subset \mathbb E^m_{s+1}$$Hsm-1(-1)⊂Es+1m with 2-type pseudo-hyperbolic Gauss map. We give a characterization of proper pseudo-Riemannian hypersurfaces in $$\mathbb H^{n+1}_s (-1) \subset… read more here.
Keywords: pseudo hyperbolic; type pseudo; mathbb; hyperbolic gauss ... See more keywords
Nonexistence Results for the Hyperbolic-Type Equations on Graded Lie Groups
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DOI: 10.1007/s40840-020-00919-6
Abstract: In this paper, we deal with systems of wave and pseudo-hyperbolic equations. Some semilinear equations for hypoelliptic operators on $${\mathbb {R}}^{n}$$, Heisenberg groups, stratified Lie groups and graded Lie groups are studied. In particular, we… read more here.
Keywords: pseudo hyperbolic; hyperbolic equations; lie groups; nonexistence results ... See more keywords
A continuous Galerkin method for pseudo-hyperbolic equations with variable coefficients
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DOI: 10.1016/j.jmaa.2019.01.008
Abstract: Abstract This paper, we study a space-time continuous Galerkin (STCG) method with mesh change for two-dimensional (2-D) pseudo-hyperbolic equations with variable coefficients, which gives the same treatment for time and space discretizations, namely both time… read more here.
Keywords: pseudo hyperbolic; time; method; hyperbolic equations ... See more keywords