Webtion Theory. Higher-order generalizations of the semilinear heat equations are known in a number of application in thin film theory, flame propagation, phase transition, in bi-stable systems, and in processes of higher-order diffusion (e.g., the extended Fisher-Kolmogorov equation or equations of Kuramoto-Sivashinskii WebIn this study formal derivation of mode coupling equations in underwater acoustics is revisited. This derivation is based on the method of multiple scales from which modal expansion of the field emerges, and the vectorized WKBJ equation for the coefficients in this expansion are obtained in an automatic way. Asymptotic analysis accomplished in …
arXiv:1412.0275v1 [math.AP] 30 Nov 2014
WebEigenfunctions of the equation Δu+λf(u)=0. 1 Citations. POHOZAEV S. Journal. Soviet Math. Doklady. Soviet Math. Doklady. 6 1408-1411, 1965 Citations (1)*help. See more. Tweet; Details . CRID 1570572699750033152 NII Article ID 10009422388 Data Source ... WebMay 31, 2014 · Diagonal 647, 08028 Barcelona. We establish an integration by parts formula in bounded domains for the higher order fractional Laplacian ( − Δ) s with s > 1 . We also obtain the Pohozaev identity for this operator. Both identities involve local boundary terms, and they extend the identities obtained by the authors in the case s ∈ ( 0, 1) . eyes and lips swelling
Eigenvalues and Eigenfunctions
WebApr 12, 2014 · To establish the identity we use, among other things, that if u is a bounded solution then $${u/\delta^s _{\Omega}}$$ is C α up to the boundary ∂Ω, where δ(x) = … WebNov 14, 2011 · 12 Pohozaev, S. I.. Eigenfunctions of the equation Δu + λf(u) = 0. Dokl. Akad. Nauk. SSSR 165 (1965), 36 – 39 (in Russian); translated in Sov. Math. 6 (1965), … WebS.I. Pohozaev's 5 research works with 93 citations and 36 reads, including: Equations in mathematical physics. A practical course. Transl. from the Russian by A. Iacob does a straight razor shave better