Results 211 to 220 of about 20,889 (257)

Differential Identities for Nonlinear Partial Differential Equations

Journal of Mathematical Sciences, 2016
Summary: We obtain new algebraic analytic presentations for solutions and coefficients of nonlinear second order differential equations and systems of such equations.
Anikonov, Yu. E., Neshchadim, M. V.
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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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Nonlinear Partial Differential Equations

2010
In this chapter we shall show how to generalise the results of the previous chapters on finite-dimensional nonlinear systems to partial differential equations. Rather than try to cover any significant part of this vast field, we shall concentrate on two problems, since the ideas then apply to many other nonlinear distributed systems. These two problems
Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal
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Hypoellipticity of Nonlinear Partial Differential Equations

Journal of Partial Differential Equations, 1994
Summary: We study the hypoellipticity problems for fully nonlinear partial differential equations of order \(m\). For a solution \(u \in C^ \rho_{\text{loc}} (\Omega)\), if the linearized operator on \(u\) satisfies some subelliptic conditions, we can deduce \(u \in C^ \infty (\Omega)\) by using the paradifferential operator theory of J.-M. Bony.
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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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Fully Nonlinear Stochastic Partial Differential Equations

SIAM Journal on Mathematical Analysis, 1996
The authors are concerned with the following stochastic partial differential equation: \[ du(t, .)= L(t, ., u, Du, D^2u) dt+ \langle b(t, .)Du+ h(t, .)u, dW(t) \rangle, \qquad u(0)= u_0, \tag{1} \] where \(L\), \(b\) and \(h\) are suitable functions and \(W\) is an \(\mathbb{R}^N\)-valued Brownian motion.
G. Da Prato, Tubaro, Luciano
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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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