Results 11 to 20 of about 102,040 (246)
Parabolic Minkowski convolutions of viscosity solutions to fully nonlinear equations [PDF]
, 2019 This paper is concerned with the Minkowski convolution of viscosity solutions of fully nonlinear parabolic equations. We adopt this convolution to compare viscosity solutions of initial-boundary value problems in different domains.
Ishige, Kazuhiro +2 more
core +2 more sources
A New Stability Result for Viscosity Solutions of Nonlinear Parabolic Equations with Weak Convergence in Time [PDF]
, 2006 We present a new stability result for viscosity solutions of fully nonlinear parabolic equations which allows to pass to the limit when one has only weak convergence in time of the ...
Bardi +10 more
core +4 more sources
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
doaj +1 more source
Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems [PDF]
, 2015 We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a superlinear part in the sense of Barles and Souganidis (2001).
Ley, Olivier, Nguyen, Vinh Duc
core +3 more sources
Singular Behavior in Nonlinear Parabolic Equations [PDF]
Transactions of the American Mathematical Society, 1985 At the beginning the authors study the question of singular solutions for elliptic boundary value problems \(\Delta u+f(u)=0\) on \(\Omega\), \(u=0\) on \(\partial \Omega\), \(u>0\) on \(\Omega\). Singular solution is the \(C^ 2(\Omega \setminus \{0\})\) solution of the problem for which, \(\overline{\lim}_{x\to 0}u(x)=+\infty.\) In theorem 1 the ...
Ni, Wei-Ming, Sacks, Paul
openaire +1 more source
Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
Journal of Taibah University for Science, 2020 In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method ...
Hijaz Ahmad +3 more
doaj +1 more source
Anisotropic parabolic equations with variable nonlinearity [PDF]
Publicacions Matemàtiques, 2009 We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak ...
Antontsev, S., Shmarev, S.
openaire +7 more sources
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
core +2 more sources
Observer Design for Lipschitz Nonlinear Parabolic PDE Systems With Unknown Input
IEEE Access, 2020 In this article, a novel method to design the observer for a class of uncertain Lipschitz nonlinear parabolic partial differential equations (PDE) systems is investigated.
Teng-Fei Li
doaj +1 more source
Flux form Semi-Lagrangian methods for parabolic problems [PDF]
, 2015 A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and convergence analysis are
Bonaventura, Luca, Ferretti, Roberto
core +3 more sources