On the Global Solutions of the Higgs Boson Equation

DOI10.1080/03605302.2011.641052zbMath1242.35203arXiv1009.3076OpenAlexW2964344298MaRDI QIDQ5389583

Karen Yagdjian

Publication date: 21 April 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3076

zbMATH Keywords

sign-changing solutionsde Sitter spacetimesemilinear Klein-Gordon equationimaginary mass

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs in connection with relativity and gravitational theory (35Q75) Weak solutions to PDEs (35D30) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

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• Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
• The global Cauchy problem for the nonlinear Klein-Gordon equation
• The semilinear Klein-Gordon equation in de Sitter spacetime
• The global Cauchy problem for the nonlinear Klein-Gordon equation. II
• A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
• The wave equation on asymptotically de Sitter-like spaces
• Existence of solitary waves in higher dimensions
• Biow-up of solutions of some nonlinear hyperbolic equations
• Finite-Time Blowup for Wave Equations with a Potential
• Global Existence for then-Dimensional Semilinear Tricomi-Type Equations
• The Large Scale Structure of Space-Time

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