Search results for "Hyperbolic inequalities"

showing 2 items of 2 documents

On some inequalities for the identric, logarithmic and related means

2015

We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.

InequalityLogarithmMeans of two argumentsmedia_common.quotation_subjectMathematical proofMathematics Subject ClassificationIdentities for meansMathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsCalculusTrigonometric and hyperbolic inequalitiesInequalities for means26D05 26D15 26D99Analysismedia_commonMathematics
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On the critical curve for systems of hyperbolic inequalities in an exterior domain of the half-space

2023

We establish blow-up results for a system of semilinear hyperbolic inequalities in an exterior domain of the half-space. The considered system is investigated under an inhomogeneous Dirichlet-type boundary condition depending on both time and space variables. In certain cases, an optimal criterium of Fujita-type is derived. Our results yield naturally sharp nonexistence criteria for the corresponding stationary wave system and equation.

Settore MAT/05 - Analisi MatematicaApplied MathematicsBlow-upHyperbolic inequalitiesWave equations and inequalitiesHalf-spaceAnalysisExterior domain
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