Results 231 to 240 of about 4,565,590 (274)

NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ON HOMOGENEOUS SPACES

International Journal of Modern Physics A, 1990
The work of A.K.N.S. which is based on the sl(2, R) valued soliton connection is extended to obtain new integrable coupled nonlinear partial differential equations. This is achieved by assuming the soliton connection having values in a simple Lie, Kac-Moody, Lie superalgebras.
GURSES, M, OGUZ, O, SALIHOGLU, S
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A Method of Directly Defining the inverse Mapping for a nonlinear partial differential equation and for systems of nonlinear partial differential equations

Computational and Applied Mathematics, 2021
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C. W. Sahabandu, Dilini Karunarathna, P. Sewvandi, Z. A. M. S. Juman, Mangalagama Dewasurendra, K. Vajravelu   +5 more
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Hypoellipticity of Nonlinear Partial Differential Equations

Journal of Partial Differential Equations, 1994
In this paper, we study the hypoellipticity problems for fully nonlinear panial differential equations of order m. For a solution u &#8712 C^p_{loc}(&#937), if the linearized operator for the nonlinear equation on u satisfies some subelliptic conditions, we can deduce u &#8712 C^&#8734(&#937) by using the paradifferential operator ...
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Critical Nonlinearities in Partial Differential Equations

Milan Journal of Mathematics, 2009
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Quantum algorithms for nonlinear partial differential equations

Bulletin des Sciences Mathématiques, 2023
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Shi Jin, Nana Liu
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Nonlinear partial differential equations

2009
So far in this text we have been mainly concerned in applying classic methods, the Adomina decomposition method [3, 4, 5], and the variational iteration method [8, 9, 10] in studying first order and second order linear partial differential equations. In this chapter, we will focus our study on the nonlinear partial differential equations. The nonlinear
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Nonlinear Partial Differential Equations

2002
In this chapter we turn our attention to the study of the dynamical properties of solutions of nonlinear partial differential equations. We are especially interested here in those nonlinear evolutionary equations which arise in the analysis of two broad classes of partial differential equations: parabolic evolutionary equations and hyperbolic ...
George R. Sell, Yuncheng You
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Attractors of Hamiltonian Nonlinear Partial Differential Equations

2021
This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits.
Komech, Alexander, Kopylova, Elena
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Fully Nonlinear Stochastic Partial Differential Equations

SIAM Journal on Mathematical Analysis, 1996
The authors study a class of fully nonlinear stochastic partial differential equations by the reduction to a family of deterministic fully nonlinear equations using the stochastic characteristic method.
G. Da Prato, Tubaro, Luciano
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Nonlinear Partial Differential Equations

2004
In the previous chapters, we discussed the solution of linear partial differential equations. Special focus was given to the solution of internal heat transfer problems in duct flows. However, in most technical applications, problems are often described by nonlinear partial differential equations.
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