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Showing 2003 · math.APShow all
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math.AP2003★ 1 cited
Stability of solutions of quasilinear parabolic equations
Giuseppe Maria Coclite, Helge Holden
We bound the difference between solutions and of $u_t = aΔu+\Div_x f+h$ and $v_t = bΔv+\Div_x g+k$ with initial data and , respectively, by $\Vert u(t,\cdot)-v(t,\c…
math.AP2003★ 1 cited
Viscosity solutions of Hamilton--Jacobi equations with discontinuous coefficients
Giuseppe Maria Coclite, Nils Henrik Risebro
We consider Hamilton--Jacobi equations, where the Hamiltonian depends discontinuously on both the spatial and temporal location. Our main results are the existence and well--posedn…