Derives kinetic Gagliardo-Nirenberg inequalities to prove local boundedness of subsolutions to nonlinear kinetic diffusion equations with p-growth.
Poincar´ e inequality and quantitative de giorgi m ethod for hypoelliptic operators, 2025
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Anisotropic Hölder continuity is established for viscosity solutions to non-coercive, non-convex Hamilton-Jacobi equations from Kalman-controllable linear systems via a tailored geometric argument and adapted De Giorgi methods.
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Nonlinear Kinetic Diffusion Equations with $p$-Growth
Derives kinetic Gagliardo-Nirenberg inequalities to prove local boundedness of subsolutions to nonlinear kinetic diffusion equations with p-growth.
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H\"older continuity for non-coercive Hamilton-Jacobi equations associated to linear control systems
Anisotropic Hölder continuity is established for viscosity solutions to non-coercive, non-convex Hamilton-Jacobi equations from Kalman-controllable linear systems via a tailored geometric argument and adapted De Giorgi methods.