Random nonlinear evolution inclusions in reflexive Banach spaces [PDF]
, 1988 In this paper we present two existence results for a large class of random, nonlinear, multivalued evolution equations defined in a reflexive, separable Banach space and involving an m m -dissipative operator.
Avgerinos, E, Papageorgiou, N
core +1 more source
Closure properties of solutions to heat inequalities [PDF]
, 2008 We prove that if $u_1,u_2 : (0,\infty) \times \R^d \to (0,\infty)$ are sufficiently well-behaved solutions to certain heat inequalities on $\R^d$ then the function $u: (0,\infty) \times \R^d \to (0,\infty)$ given by $u^{1/p}=u_1^{1/p_1} * u_2^{1/p_2 ...
C. Borell +18 more
core +2 more sources
BSDE, Path-dependent PDE and Nonlinear Feynman-Kac Formula [PDF]
, 2011 In this paper, we introduce a type of path-dependent quasilinear (parabolic) partial differential equations in which the (continuous) paths on an interval [0,t] becomes the basic variables in the place of classical variables (t,x). This new type of PDE
Peng, Shige, Wang, Falei
core
On solving the nonlinear Biswas-Milovic equation with dual-power law nonlinearity using the extended tanh-function method [PDF]
, 2015 In this article, we apply the extended tanh-function method to find the exact traveling wave solutions of the nonlinear Biswas-Milovic equation (BME), which describes the propagation of solitons through optical fibers for trans-continental and trans ...
E. Zayed, Elsayed M.
core +1 more source
Electrical-thermal analytical modeling of monopolar RF thermal ablation of biological tissues: determining the circumstances under which tissue temperature reaches a steady state [PDF]
, 2016 This is a pre-copy-editing, author-produced PDF of an article accepted for publication in MATHEMATICAL BIOSCIENCES doi:10.3934/mbe.2015003 AND ENGINEERING following peer review. The definitive publisher-authenticated version Mathematical Biosciences and
A. Erez +25 more
core +1 more source
On the Cauchy problem for a semilinear fractional elliptic equation [PDF]
, 2018 We study, for the first time in the literature on the subject, the Cauchy problem for a semilinear fractional elliptic equation. Under an a priori assumption on the solution, we propose the Fourier truncation method for stabilizing the ill-posed problem.
Lesnic, D, Triet, NA, Tuan, NH, Xuan, TD
core +1 more source
Advection-diffusion equations with random coefficients on evolving hypersurfaces [PDF]
, 2017 We present the analysis of advection-diffusion equations with random coefficients on moving hypersurfaces. We define weak and strong material derivative, that take into account also the spacial movement.
Djurdjevac, A.
core +1 more source
Caloric morphisms between different radial metrics on semi-euclidean spaces of same dimension [PDF]
, 2011 application/pdf論文(Article)journal ...
SHIMOMURA, Katsunori
core +1 more source
A new stability results for the backward heat equation
, 2009 In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained.
Dinh, Alain Pham Ngoc +3 more
core
Strong maximum principles for infinite implicit parabolic systems [PDF]
, 2014 In this paper we prove a theorem on strong maximum principles for infinite implicit systems of parabolic differential-functional inequalities together with nonlocal inequalities with functionals in (n + 1)-dimensional sets more general than the ...
Byszewski, Ludwik
core +1 more source