A method is presented to provide estimates of parameters of specified nonlinear equations from ordinal data generated from a crossed design. The analytic method, NOPE, is an iterative method in which monotone regression and the Gauss-Newton method of least squares are applied alternatively until a ...
Global weighted estimates for the gradient of solutions to nonlinear elliptic equations We consider nonlinear elliptic equations of p-Laplacian type that are not necessarily of variation form when the nonlinearity is allowed to be discontinuou......
Applying the mountain-pass theorem due to Ambrosetti and Rabinowitz (1973), we establish existence results for some nonlinear equations, namely Δ u + hu = f ( x , u ), x ∈ V . In particular, we prove that if h and f satisfy certain assumptions, then the above-mentioned equation ...
New classes of exact solutions to nonlinear sets of equations encountered in the theory of filtration and convective mass transfer of reacting media are described. Focus is placed on general first-order sets in which the chemical reaction rates depend on arbitrary functions. General solutions to some...
The present paper studies the blow-up of solutions to nonlinear wave equations whose nonlinear terms are proposed by F. John. We shall show that the solutions to the equations in two space dimensions blow up at finite time if the power in nonlinear term is equal to or smaller than three....
Long-time behavior of nonlinear integro-differential evolution equations We study the long-time behavior as time tends to infinity of globally bounded strong solutions to certain integro-differential equations in Hilbert spaces... J Sánchez,V Vergara - 《Nonlinear Analysis Theory Methods & Applications...
In this paper we study microlocal singularities of solutions to Schrodinger equations on scattering manifolds, i.e., noncompact Riemannian manifolds with asymptotically conic ends. We characterize the wave front set of the solutions in t... K Ito,S Nakamura 被引量: 0发表: 2007年 Smoothness and...
BLOW-UP OF SOLUTIONS TO A NONLINEAR WAVE EQUATION. 来自 EBSCO 喜欢 0 阅读量: 22 作者:Georgiev,Svetlin,Georgiev 摘要: We study the solutions to the the radial 2-dimensional wave equation ... where r = |x| and x in R². We show that this Cauchy problem, with values into a ...
The obtained results indicate the reliability, efficiency, and capability of the implemented technique to determine wide-spectral stable traveling wave solutions to nonlinear equations emerging in various branches of scientific, technological, and engineering domains.Similar content being viewed by others ...
First of all, some technical tools are developed. Then the author studies explicit traveling wave solutions to nonlinear dispersive wave equations, nonlinear dissipative dispersive wave equations, nonlinear convection equations, nonlinear reaction diffusion equations and nonlinear hyperbolic equations, respectivel...