The wave operator on \(S^ n:\) Estimates and applications

DOI10.1016/0022-1236(88)90004-3zbMath0701.35104OpenAlexW2012076474MaRDI QIDQ914067

Zhengfang Zhou

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90004-3

zbMATH Keywords

regularityexistenceperiodic solutionsnonlinear wave equations

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Second-order nonlinear hyperbolic equations (35L70) Generalized solutions to partial differential equations (35Dxx)

Related Items (4)

Scattering and complete integrability in conformally invariant nonlinear theories ⋮ Sobolev Estimates for the Wave Operator on compact Manifolds ⋮ Symmetric periodic solutions of semi-linear wave equations ons³ ⋮ Subharmonic solutions of nonlinear wave equations on \(S^n\)

Cites Work

• Unnamed Item
• The dual method in critical point theory. Multiplicity results for indefinite functional
• Oscillatory integrals and spherical harmonics
• A priori estimates for the wave equation and some applications
• Periodic solutions for the semilinear spherical wave equation
• The existence of periodic solutions of nonlinear wave equations on Sⁿ
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Periodic solutions of hamiltonian systems
• Forced vibrations for a nonlinear wave equation
• Convolutions with Kernels Having Singularities on a Sphere

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