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Tome III, 3rd ed., Les Grands Clas- siques Gauthier-Villars

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A mixed boundary value problem for $u_{xy}=f(x,y,u,u_x,u_y)$

math.AP · 2019-07-17 · unverdicted · novelty 7.0

For the hyperbolic PDE u_xy = f with mixed boundary data on curves M and N intersecting at the origin, when M is below N there are multiple local solutions and existence holds under Lipschitz f.

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  • A mixed boundary value problem for $u_{xy}=f(x,y,u,u_x,u_y)$ math.AP · 2019-07-17 · unverdicted · none · ref 9

    For the hyperbolic PDE u_xy = f with mixed boundary data on curves M and N intersecting at the origin, when M is below N there are multiple local solutions and existence holds under Lipschitz f.