In [1] we construct a unique bounded H■lder continuous viscosity solution for the nonlinear PDEs with the evolution p-Laplacian equation and its anisotropic version as typical examples. In this part, we investigate t...In [1] we construct a unique bounded H■lder continuous viscosity solution for the nonlinear PDEs with the evolution p-Laplacian equation and its anisotropic version as typical examples. In this part, we investigate the Lipschitz continuity of the free boundary of viscosity solution and its asymptotic spherical symmetricity, however,this result does not include the anisotropic case.展开更多
he Rectangular Top Horn Offset Coaxial Transmission line (RTHOCT) is an expanded structure inwhich the spherical wave is guided. It is applied to manufacture a test cell called GTEM CELL in a broad band-width. In this...he Rectangular Top Horn Offset Coaxial Transmission line (RTHOCT) is an expanded structure inwhich the spherical wave is guided. It is applied to manufacture a test cell called GTEM CELL in a broad band-width. In this paper, we give the propagation constant of the first six higher order modes by the basic characteris-tics of the spherical Bessel functions of the third kind. The potential distribution of the sphere-TEM mode is alsocomputed ty boundary integral equation and multi-local expansion method. We find, in the far zone away fromthe top point of RTHOCT the propagation constant of all higher order modes is the same as that of the sphere-TEM mode.展开更多
文摘In [1] we construct a unique bounded H■lder continuous viscosity solution for the nonlinear PDEs with the evolution p-Laplacian equation and its anisotropic version as typical examples. In this part, we investigate the Lipschitz continuity of the free boundary of viscosity solution and its asymptotic spherical symmetricity, however,this result does not include the anisotropic case.
文摘he Rectangular Top Horn Offset Coaxial Transmission line (RTHOCT) is an expanded structure inwhich the spherical wave is guided. It is applied to manufacture a test cell called GTEM CELL in a broad band-width. In this paper, we give the propagation constant of the first six higher order modes by the basic characteris-tics of the spherical Bessel functions of the third kind. The potential distribution of the sphere-TEM mode is alsocomputed ty boundary integral equation and multi-local expansion method. We find, in the far zone away fromthe top point of RTHOCT the propagation constant of all higher order modes is the same as that of the sphere-TEM mode.
