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
Determination of Initial Data in the Time-Fractional Pseudo-Hyperbolic Equation
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DOI: 10.3390/sym16101332
Abstract: We examine a time-fractional pseudo-hyperbolic equation involving positive operators. We explore the determination of initial velocity and perturbation. It is demonstrated that these initial inverse problems are ill posed. Additionally, we prove that under certain… read more here.
Keywords: hyperbolic equation; time fractional; pseudo hyperbolic; fractional pseudo ... See more keywords