Carleman inequality for a class of super strong degenerate parabolic operators and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sรฉrgio Araรบjo +2 more
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A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians [PDF]
, 2015 We investigate large-time asymptotics for viscous Hamilton--Jacobi equations with possibly degenerate diffusion terms. We establish new results on the convergence, which are the first general ones concerning equations which are neither uniformly ...
Barles +24 more
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, 2020 In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate reaction-diffusion equation in divergence form governed ...
Floridia, Giuseppe +2 more
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Embedding Operators in Vector-Valued Weighted Besov Spaces and Applications
Journal of Function Spaces and Applications, 2012 The embedding theorems in weighted Besov-Lions type spaces ๐ต๐,๐ ๐,๐,๐พ (ฮฉ;๐ธ0,๐ธ) in which ๐ธ0,๐ธ are two Banach spaces and ๐ธ0โ๐ธ are studied. The most regular class of interpolation space ๐ธ๐ผ between ๐ธ0 and E is found such that the mixed differential operator ...
Veli Shakhmurov
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On the Weak Characteristic Function Method for a Degenerate Parabolic Equation
Journal of Function Spaces, 2019 For a nonlinear degenerate parabolic equation, how to impose a suitable boundary value condition to ensure the well-posedness of weak solutions is a very important problem.
Huashui Zhan
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Fundamental solutions for degenerate parabolic equations [PDF]
Acta Mathematica, 1974 This chapter explains the construction of a candidate for a fundamental solution and the existence, smoothness, and certain bounds for a fundamental solution ฮ. The underlying assumptions were that ( a ij , ( x )) is uniformly positive definite and a ij , b i are bounded and uniformly Holder continuous. The chapter presents a proof of how if a ij ,
openaire +4 more sources
Uniqueness of Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Problems in One Dimension Space [PDF]
, 2009 We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t โ a(u, φ(ux)x= f with homogeneous Dirichlet conditions and initial conditions.
Ouaro, Stanislas
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$L^1$ contraction for bounded (non-integrable) solutions of degenerate parabolic equations [PDF]
, 2014 We obtain new $L^1$ contraction results for bounded entropy solutions of Cauchy problems for degenerate parabolic equations. The equations we consider have possibly strongly degenerate local or non-local diffusion terms.
Endal, J., Jakobsen, E. R.
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Second order mean field games with degenerate diffusion and local coupling [PDF]
, 2014 We analyze a (possibly degenerate) second order mean field games system of partial differential equations. The distinguishing features of the model considered are (1) that it is not uniformly parabolic, including the first order case as a possibility ...
Cardaliaguet, Pierre +3 more
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Liouville properties and critical value of fully nonlinear elliptic operators [PDF]
, 2016 We prove some Liouville properties for sub- and supersolutions of fully nonlinear degenerate elliptic equations in the whole space. Our assumptions allow the coefficients of the first order terms to be large at infinity, provided they have an appropriate
Bardi, Martino, Cesaroni, Annalisa
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