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Maximum principle in nonlinear hyperbolic systems and its applications
Nonlinear Analysis: Theory, Methods & Applications, 1998In this paper for quasilinear hyperbolic systems of the type \[ {\partial u_i\over\partial t}+ \lambda_i(t,x, u){\partial u_i\over\partial x}= \sum^n_{j=1} a_{ij}(t, x,u)u+ h_i(t,x,u),\quad i= 1,\dots, n\tag{1} \] estimates for the absolute value components of the solution of the system in the characteristic triangle \(\Delta_P\) through \(\max_{1\leq ...
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On the maximum principle for doubly nonlinear parabolic equations
Journal of Mathematical Sciences, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Control, Automation and Systems, 2022
Chen Zhang, Haibo Liu, Yan Ji
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Chen Zhang, Haibo Liu, Yan Ji
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Nonlinear Roesser Problem with a Terminal Condition. Maximum Principle
IFAC Proceedings Volumes, 1997Abstract In the paper, necessary optimality conditions for an autonomous continuous Roesser system nonlinear in a state, with a pointwise terminal condition, are derived.
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Optimal Strong Maximum Principles for Fully Nonlinear Elliptic Equations
This paper investigates optimal strong maximum principles for fully nonlinear second-order elliptic equations. We explore the conditions under which a solution to such an equation cannot attain its maximum in the interior of a domain unless it is constant, even in the presence of degeneracy or superlinear gradient terms.Revista, Zen, MATH, 10
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Construction of Nonlinear Weighted Method for Finite Volume Schemes Preserving Maximum Principle
SIAM Journal on Scientific Computing, 2018Z. Sheng, G. Yuan
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Generalized Maximum Principles for Nonlocal Fully Nonlinear Elliptic Equations
This paper investigates the extension of classical maximum principles to the realm of nonlocal fully nonlinear elliptic equations. Maximum principles are fundamental tools in the theory of partial differential equations, providing crucial information about the qualitative behavior of solutions, such as bounds, uniqueness, and comparison properties ...Revista, Zen, MATH, 10
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A Strong Maximum Principle for General Nonlinear Operators
2023Lucas Fresse, Viorica V. Motreanu
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Sharp Maximum Principles for Fully Nonlinear Degenerate Elliptic Equations
This paper investigates the derivation and application of sharp maximum principles for a class of fully nonlinear degenerate elliptic equations. Maximum principles are fundamental tools in the qualitative analysis of partial differential equations, providing crucial insights into the behavior of solutions, including uniqueness, stability, and bounds ...Revista, Zen, MATH, 10
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Composition and functions of bacterial membrane vesicles
Nature Reviews Microbiology, 2023Masanori Toyofuku +2 more
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