Results 231 to 240 of about 718 (256)

On local solutions of some mildly degenerate hyperbolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1993
The paper is concerned with the Cauchy problem for the abstract Kirchhoff-type equation \[ u''- M(\langle Au,u \rangle) Au=0, \quad u(0)= u_ 0, \quad u'(0)=u_ 1, \tag{\(*\)} \] where \(M: \mathbb{R}^ +\to \mathbb{R}^ +\) is a non-negative \(C^ 1\)-function and \(A: V\to V'\) a selfadjoint, linear isomorphism acting in a Hilbert triplet \(V\subseteq H ...
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Local solution for a degenerate hyperbolic equation with memory

Nonlinear Analysis: Theory, Methods & Applications, 1994
In this paper, the local solvability in suitable Sobolev-type spaces for the nonlocal equation \[ u'' - m \bigl( (\Lambda u,u) \bigr) \cdot \Lambda u + \dot a* \biggl( m \bigl( (\Lambda u,u) \bigr) \cdot \Lambda u \biggr) = 0, \quad u(0) = u_0,\;u'(0) = u_1, \tag{*} \] is studied. Here \(m(r)\) is a nonnegative function (possibly vanishing somewhere), \
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The Dirichlet Problem for a Degenerate Hyperbolic Equation in a Rectangle

Differential Equations, 2001
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Singular perturbation hyperbolic–parabolic for degenerate nonlinear equations of Kirchhoff type

Nonlinear Analysis: Theory, Methods & Applications, 2001
The Cauchy problem for the operator equation \(\varepsilon u''+ \) \(\delta u'+\) \(m(|A^{1/2}u|^2)\) \(Au=0\) is studied. The convergence \(u^{\varepsilon}\to u\), as \(\varepsilon\to 0\), is proved to a solution of the limit problem with \(\varepsilon =0\). The function \(m\) is allowed to be locally Lipschitz continuous.
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker, Nwamaka D Eneanya, Josef Coresh   +2 more
exaly  

Cauchy problem for degenerate hyperbolic equations

Communications on Pure and Applied Mathematics, 1980
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The general relativistic constraint equations

Living Reviews in Relativity, 2021
Alessandro Carlotto
exaly  

Cardiovascular disease risk prediction equations in 400 000 primary care patients in New Zealand: a derivation and validation study

Lancet, The, 2018
Romana Pylypchuk, Andrew Kerr, Katrina Poppe   +2 more
exaly  

Equations of state for supernovae and compact stars

Reviews of Modern Physics, 2017
Stefan Typel
exaly  

Stochastic growth equations and reparametrization invariance

Reviews of Modern Physics, 1996
Matteo Marsili, Amos Maritan, Flavio Toigo   +2 more
exaly