Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods
From MaRDI portal
Publication:1413441
DOI10.1007/s00526-002-0186-5zbMath1036.35001OpenAlexW2017278207MaRDI QIDQ1413441
Guy Barles, Olivier Ley, Mariane Bourgoing, Samuel Biton
Publication date: 16 November 2003
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-002-0186-5
Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)
Related Items
Weakly coupled systems of fully nonlinear parabolic equations in the Heisenberg group, Explicit characterization of the super-replication strategy in financial markets with partial transaction costs, Stability of translating solutions to mean curvature flow, Large exponent behavior for power-type nonlinear evolution equations and applications, A (rough) pathwise approach to a class of non-linear stochastic partial differential equations, Stability of mean convex cones under mean curvature flow, Optimal control with random parameters: a multiscale approach, Existence and uniqueness of solutions to parabolic equations with superlinear Hamiltonians, On weak solutions of forward-backward SDEs, Pricing options in incomplete equity markets via the instantaneous Sharpe ratio, Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group, Semiconvexity of Viscosity Solutions to Fully Nonlinear Evolution Equations via Discrete Games, Exponentially growing solutions of parabolic Isaacs' equations, Convex Hamilton-Jacobi equations under superlinear growth conditions on data, Traveling curved fronts of anisotropic curvature flows, Long-Time Behavior of the Mean Curvature Flow with Periodic Forcing, Viscosity solutions of general viscous Hamilton-Jacobi equations, Uniqueness for parabolic equations without growth condition and applications to the mean curvature flow in \(\mathbb R^2\)
