Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +6 more
core +1 more source
Well-posedness and stationary solutions [PDF]
, 2011 In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Grinfeld, Michael, Burns, Martin
core +3 more sources
On Degenerate Parabolic Equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 The paper deals with the existence of solutions of some generalized Stefan‐type equation in the framework of Orlicz spaces.
openaire +3 more sources
The Bitsadze–Samarskii problem for some characteristically loaded hyperbolic-parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The paper considers a characteristically loaded equation of a mixed hyperbolic-parabolic type with degeneration of order in the hyperbolicity part of the domain.
Kazbek Uzeirovich Khubiev
doaj +3 more sources
Hypothesis on the Solvability of Parabolic Equations with nonlocal Condition
Nonlinear Analysis, 2002 Numerous and different nonlocal conditions for the solvability of parabolic equations were researched in many articles and reports. The article presented analyzes such conditions imposed, and observes that the existence and uniqueness of the solution of ...
Mifodijus Sapagovas
doaj +1 more source
Regularity of a Parabolic Differential Equation on Graphs
Mathematics, 2023 In this paper, motivated by a biodegradable stent problem, we consider a parabolic differential equation on graphs. This kind of equation describes the stent material degradation in time.
Bojan Žugec
doaj +1 more source
Sobre la convexidad de la función de presión en el problema de la filtración no lineal
Revista de Matemática: Teoría y Aplicaciones, 2009 We prove the convexity of the pressure function v for the isotropic ideal gaz flow, based on the theorem about the zeros of the solution of the parabolic equation (1) Keywords: fluid mechanics, turbulence, parabolic ...
Vladimir N Grebenev
doaj +1 more source
Parabolic time dependent source identification problem with involution and Neumann condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 A time dependent source identification problem for parabolic equation with involution and Neumann condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan
doaj +1 more source
A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
Abstract and Applied Analysis, 2015 The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly ...
Wenyuan Liao
doaj +1 more source
Multisector Parabolic Equation Method for Scattering From Impenetrable Objects in Fluid Waveguides
IEEE Access, 2021 Parabolic equation methods are a robust and efficient tool for modeling long-range acoustic propagation in range-dependent waveguides. A lesser known, but equally effective, application of parabolic equations is to the scattering problem.
Adith Ramamurti, David C. Calvo
doaj +1 more source