Results 21 to 30 of about 2,325 (94)
Critical global asymptotics in higher‐order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3809-3825, 2003., 2003 We consider a higher‐order semilinear parabolic equation ut = −(−Δ)mu − g(x, u) in ℝN × ℝ+, m > 1. The nonlinear term is homogeneous: g(x, su) ≡ |s|p−1sg(x, u) and g(sx, u) ≡ |s|Qg(x, u) for any s ∈ ℝ, with exponents P > 1, and Q > −2m. We also assume that g satisfies necessary coercivity and monotonicity conditions for global existence of solutions ...
Victor A. Galaktionov
wiley +1 more source
Integrodifferential equations with analytic semigroups
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 177-189, 2003., 2003 In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
wiley +1 more source
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003 This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
wiley +1 more source
Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003 We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios +2 more
wiley +1 more source
Generalized Hermite Spectral Method for Nonlinear Fokker-Planck Equations on the Whole Line
Journal of Mathematical Study, 2018 In this paper, we develop a spectral method for the nonlinear Fokker-Planck equations modeling the relaxation of fermion and boson gases. A full-discrete generalized Hermite spectral scheme is constructed.
Guo Wang
semanticscholar +1 more source
Abstract and Applied Analysis, Volume 7, Issue 9, Page 453-473, 2002., 2002 In a real separable Hilbert space, we consider nonautonomous evolution equations including time‐dependent subdifferentials and their nonmonotone multivalued perturbations. In this paper, we treat the multivalued dynamical systems associated with time‐dependent subdifferentials, in which the solution is not unique for a given initial state.
Noriaki Yamazaki
wiley +1 more source
Critical Exponents of Semilinear Equations via the Feynman-Kac Formula [PDF]
, 2007 2000 Mathematics Subject Classification: 60H30, 35K55, 35K57 ...
Alfredo Lopez-Mimbela, Jose +1 more
core
The Tychonoff uniqueness theorem for the G-heat equation
, 2011 In this paper, we obtain the Tychonoff uniqueness theorem for the G-heat ...
A. N. Tychonoff +13 more
core +1 more source
Reaction-diffusion problems under non-local boundary conditions with blow-up solutions
, 2014 This paper deals with blow-up solutions to a class of reaction-diffusion equations under non-local boundary conditions. We prove that under certain conditions on the data the blow-up will occur at some finite time and when the blow-up does occur, lower ...
M. Marras, S. Vernier Piro
semanticscholar +1 more source
Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala, Theodore Simos
wiley +1 more source