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On Hyperbolic Partial Differential Equations

American Journal of Mathematics, 1952
where p = zx, q = zy, it is assumed that f is continuous in (x, y, z, p, q) and satisfies a uniform Lipschitz conditioni with respect to (z, p, q). It will be shown (Section 2) that the assumption of a Lipschitz. condition with respect to z can be omitted in these existence theorems, though not in the uniqueness theorems.
Hartman, Philip, Wintner, Aurel
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Partial Hyperbolic Functional Differential Equations

2012
In this chapter, we shall present existence results for some classes of IVP for partial hyperbolic differential equations with fractional order.
Saïd Abbas   +2 more
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Boundary Controllability of Hyperbolic Partial Differential Equations

SIAM Journal on Control and Optimization, 1981
It is shown that for a large class of first-order hyperbolic systems with constant coefficients, including strictly hyperbolic or symmetric systems, and where the boundary conditions result in well-posed mixed initial-boundary value problems, any initial state $u_0 \in H^1 (\Omega )$ can be steered by boundary control to any final state $u_T \in H^1 ...
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Theory of Hyperbolic Evolution Equations and Partial Differential Equations

Sugaku Expositions, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multi-dimensional hyperbolic partial differential equations

2006
Abstract This book presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear ...
Sylvie Benzoni-Gavage, Denis Serre
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