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Quantum Tunneling and Complex Dynamics in the Suris's Integrable Map. [PDF]

Entropy (Basel)
Hanada Y, Shudo A.
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On quasilinear hyperbolic equations with degenerate principal part

On quasilinear hyperbolic equations with degenerate principal part
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Boundary Value Problems for Quasi-Hyperbolic Equations with Degeneration

Mathematical Notes, 2022
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Kozhanov, A. I., Spiridonova, N. R.
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Nonhomogeneous Dirichlet Problems for Degenerate Parabolic-Hyperbolic Equations

Archive for Rational Mechanics and Analysis, 2002
This paper is dedicated to study initial boundary value problem for the parabolic-hyperbolic equation \[ \partial_t u - \Delta b(u) + \text{div} \Phi(u) = g(x,t), \] \[ u _{t=0} = u_0(x), \qquad u _{\partial \Omega \times (0,T)} = a_0(x), \] in the case of nonhomogeneous boundary data \(a_0\).
MASCIA, Corrado, Alessio Porretta, TERRACINA, Andrea   +2 more
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Local solutions for a nonlinear degenerate Hyperbolic equation

Nonlinear Analysis: Theory, Methods & Applications, 1986
The author investigates local solutions for the initial-boundary value problem associated to the nonlinear degenerated hyperbolic equation of the type \(u_{tt}-M(\int_{\Omega}| \nabla u|^ 2dx)\Delta u=0,\) which comes from the mathematical description of the vibrations of an elastic stretched string.
Ebihara, Y., Medeiros, L. A., Milla Miranda, M.   +2 more
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Weakly Degenerate Hyperbolic Equations

Differential Equations, 2003
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A nonlocal problem for degenerate hyperbolic equation

Russian Mathematics, 2017
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Repin, O. A., Kumykova, S. K.
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Maslov’s canonical operator for degenerate hyperbolic equations

Russian Journal of Mathematical Physics, 2014
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A degenerate hyperbolic equation under Levi conditions

ANNALI DELL'UNIVERSITA' DI FERRARA, 2006
In the present study the author deals with the second-order equations of the form \[ \Biggl(D^2_t- \sum^n_{i,j=1} a_{ij}(t, x)D_{x_i} D_{x_j}+ \sum^n_{j=1} b_j(t, x)D_{x_j}+ C(t, x)\Biggr) u(t, x)= 0,\tag{1} \] where \(t\in [0,T]\), \(x\in\mathbb{R}^n\), \(D= {1\over i}\partial\), with \[ a(t,x,\xi):= \sum^n_{i,j=1} a_{ij}(t, x)\xi_i\xi_j\geq 0,\quad t\
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