Search results for "Inhomogeneous"

showing 3 items of 33 documents

A blow-up result for a nonlinear wave equation on manifolds: the critical case

2021

We consider a inhomogeneous semilinear wave equation on a noncompact complete Riemannian manifold (Formula presented.) of dimension (Formula presented.), without boundary. The reaction exhibits the combined effects of a critical term and of a forcing term. Using a rescaled test function argument together with appropriate estimates, we show that the equation admits no global solution. Moreover, in the special case when (Formula presented.), our result improves the existing literature. Namely, our main result is valid without assuming that the initial values are compactly supported.

manifoldApplied MathematicsBlow-upMathematical analysisBoundary (topology)Riemannian manifoldWave equationManifoldcritical caseDimension (vector space)Settore MAT/05 - Analisi MatematicaNonlinear wave equationMathematics::Differential Geometryinhomogeneous semilinear wave equationAnalysisMathematicsApplicable Analysis
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Spherically symmetric inhomogeneous cosmological models

2014

symmetriacosmological modelshavainnotcosmic observablesinhomogeneous cosmologymaailmankaikkeusmallitperfect fluidskosmologiacosmologyspherical symmetryhomogeenisuus
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Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation

2022

We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, inf⁡p>1, and f is continuous and bounded. peerReviewed

viscosity solutionosittaisdifferentiaaliyhtälötnon-divergence form equationHölder gradient regularityinhomogeneous equationApplied Mathematicsnormalized equationp-LaplaceAnalysisJournal of Mathematical Analysis and Applications
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