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Applicable Analysis
An International Journal
Volume 67, 1997 - Issue 3-4
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Original Articles

Comparison results for hamilton-jacobi equations without grwoth condition on solutions from above

Hitoshi Ishii Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa1-1, Hachioji-shi, Tokyo, 192-03, Japan
Pages 357-372 | Received 01 Apr 1997, Published online: 02 Nov 2010

Citations (13)

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Hitoshi Ishii, Kaizhi Wang, Lin Wang & Jun Yan. (2022) Hamilton–Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown. Communications in Partial Differential Equations 47:2, pages 417-452.
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Articles from other publishers (12)

King-Yeung Lam & Xiao Yu. (2022) Asymptotic spreading of KPP reactive fronts in heterogeneous shifting environments. Journal de Mathématiques Pures et Appliquées 167, pages 1-47.
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Shuang Liu, Qian Liu & King-Yeung Lam. (2021) Asymptotic spreading of interacting species with multiple fronts II: Exponentially decaying initial data. Journal of Differential Equations 303, pages 407-455.
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Vincent Calvez & King-Yeung Lam. (2020) Uniqueness of the viscosity solution of a constrained Hamilton–Jacobi equation. Calculus of Variations and Partial Differential Equations 59:5.
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G. T. Kossioris, M. Loulakis & P. E. Souganidis. 2019. Probability and Analysis in Interacting Physical Systems. Probability and Analysis in Interacting Physical Systems 49 74 .
Katsuyuki Ishii. (2013) An approximation scheme for the anisotropic and nonlocal mean curvature flow. Nonlinear Differential Equations and Applications NoDEA 21:2, pages 219-252.
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Shigeaki Koike & Olivier Ley. (2011) Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms. Journal of Mathematical Analysis and Applications 381:1, pages 110-120.
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Francesca Da Lio & Olivier Ley. (2010) Convex Hamilton-Jacobi Equations Under Superlinear Growth Conditions on Data. Applied Mathematics & Optimization 63:3, pages 309-339.
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Hidehiro Kaise & Shuenn-Jyi Sheu. (2008) Ergodic Type Bellman Equations of First Order with Quadratic Hamiltonian. Applied Mathematics and Optimization 59:1, pages 37-73.
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Alessandra Cutrì & Francesca Da Lio. (2007) Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations. ESAIM: Control, Optimisation and Calculus of Variations 13:3, pages 484-502.
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Francesca Da Lio & Olivier Ley. (2006) Uniqueness Results for Second-Order Bellman--Isaacs Equations under Quadratic Growth Assumptions and Applications. SIAM Journal on Control and Optimization 45:1, pages 74-106.
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Francesca Da Lio & William M. McEneaney. (2002) Finite Time--Horizon Risk-Sensitive Control and the Robust Limit under a Quadratic Growth Assumption. SIAM Journal on Control and Optimization 40:5, pages 1628-1661.
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William M. McEneaney. (1998) A uniqueness result for the isaacs equation corresponding to nonlinear H∞ control. Mathematics of Control, Signals, and Systems 11:4, pages 303-334.
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