Global Regularity for General Non-Linear Wave Equations I. (6 + 1) and Higher Dimensions

DOI10.1081/PDE-200037764zbMath1063.35120arXivmath/0402193MaRDI QIDQ3157934

Jacob Sterbenz

Publication date: 20 January 2005

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

Full work available at URL: https://arxiv.org/abs/math/0402193

zbMATH Keywords

Strichartz inequalitiessmall initial dataglobally well-posedinvariant Besov spaces

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70)

Related Items (6)

Small data global regularity for half-wave maps ⋮ Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data ⋮ Global well-posedness for half-wave maps with \(S^2\) and \(\mathbb{H}^2\) targets for small smooth initial data ⋮ GLOBAL REGULARITY FOR YANG–MILLS FIELDS IN R¹⁺⁵ ⋮ Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations ⋮ Almost Global Existence for Some Semilinear Wave Equations with Almost Critical Regularity

Cites Work

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• Endpoint Strichartz estimates
• Local and global results for wave maps I
• On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹
• Space‐time estimates for null forms and the local existence theorem
• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS
• Counterexamples to Local Existence for Semi-Linear Wave Equations
• Local existence for the maxwell-dirac equations in three space dimensions

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