Continuous dependence on the nonlinearity of viscosity solutions of parabolic equations (Q5929881)
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scientific article; zbMATH DE number 1587013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous dependence on the nonlinearity of viscosity solutions of parabolic equations |
scientific article; zbMATH DE number 1587013 |
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Continuous dependence on the nonlinearity of viscosity solutions of parabolic equations (English)
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15 November 2001
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The paper proposes an upper bound for \((u-v)\) where \(u\) is a viscosity subsolution of \( u_t+F(u,D_xu,D^2_{xx}u)=0 \) and \(v\) is a viscosity supersolution of \( v_t+G(v,D_xv,D^2_{xx}v)=0 \) in \((0,\infty)\times\Omega\) with Neumann boundary conditions and where \(\Omega\) is an open convex set.
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fully nonlinear parabolic equations
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viscosity supersolution
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Neumann boundary condition
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viscosity subsolution
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