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The EHTA for nonlinear evolution equations
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhengde Dai
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On nonlinear equations of evolution
Nonlinear Analysis: Theory, Methods & Applications, 1989The goal of the work is to prove existence of solutions of the initial value problem \[ du/dt+A(t,u,u)=0,\quad u(0)=q,\quad 0\leq t\leq T \] in a Banach space. Various properties of solutions are also established.
Michael G Crandall +1 more
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Holder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition by D. E. Apushkinskaya and A. I. Nazarov Reverse Holder inequalities with boundary integrals and $L_p$-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems by A. A.
Uraltseva, N N
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On Nonlinear Evolution Equations for Occupancies
Journal of Mathematical Sciences, 2001For any natural number \(N\) subspaces of the direct product of \(N\) copies of a discrete probability space \(\Omega_0\), factored with respect to the group of permutation of indices, are defined by means of arbitrary linear constraints on occupancies. The direct sum of such quotient products over \(N\in \{1,2,\dots\}\) is considered.
Chebotarev, A. M., Maslov, V. P.
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A Stochastic Nonlinear Evolution Equation
Zeitschrift für Analysis und ihre Anwendungen, 1992A stochastic evolution equation for processes with values in two orthogonal subspaces of a Hilbert space is considered. Such types of equations arise in the study of quasistatic processes of elastic viscoplastic materials with random disturbances. Using the theory of Hilbert space valued Ito equations an existence and uniqueness theorem is proved ...
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`Solitoff' Solutions of Nonlinear Evolution Equations
Journal of the Physical Society of Japan, 1996Summary: Dromions are exact, localized solutions of \((2+1)\) dimensional evolution equations and decay exponentially in all directions. `Solitoffs' of the Davey-Stewartson equations constitute an intermediate state between dromions and plane solitons, since they decay exponentially in all directions except a preferred one. Here solitoffs are rederived
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Nonlinear evolution equations and nonlinear ergodic theorems
Nonlinear Analysis: Theory, Methods & Applications, 1977Publisher Summary This chapter discusses nonlinear evolution equations and nonlinear ergodic theorems. It discusses certain aspects of the asymptotic behavior of generalized solutions of nonlinear evolution equations and of nonlinear nonexpansive semigroups in Banach spaces.
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Oberwolfach Reports, 2009
Following the successful pattern of the meeting in 2005, this year's workshop on 'Nonlinear Evolution Problems' focussed on a small number of currently very active areas in this field. By far the dominant theme, however, were geometric evolution equations of parabolic type, followed by the topic of wave equations and water waves ...
Klaus Ecker +2 more
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Following the successful pattern of the meeting in 2005, this year's workshop on 'Nonlinear Evolution Problems' focussed on a small number of currently very active areas in this field. By far the dominant theme, however, were geometric evolution equations of parabolic type, followed by the topic of wave equations and water waves ...
Klaus Ecker +2 more
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Evolution equation for nonlinear Scholte waves
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1998The evolution equations for nonlinear Scholte waves (finite amplitude elastic waves propagating along liquid/solid interface), which account for the second order nonlinearity of a liquid, are derived for the first time. For mathematical simplicity the nonlinearity of the solid, which influence is expected to be weak in the case of weak localization of ...
V E, Gusev, W, Lauriks, J, Thoen
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