Parabolic Initial-Boundary Value Problems
On explicit and numerical solvability of parabolic initial-boundary value problems
... natural for solvability of parabolic initial-boundary value problems. These spaces as well as the solvability have been investigated by Slobodecki˘ı [9], Agranoviˇc and Viˇsik [1], V. ...
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Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations
... degenerate parabolic equations arising in mathematical finance and in the theory of diffusion ...to initial boundary value problems for a class of degenerate parabolic ...to ...
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Study of solutions to an initial and boundary value problem for certain systems with variable exponents
... smooth boundary ∂, and the source term is of the form f (x, u) = a(x)u p(x) or f (x, u) = a(x) u q(y) (y, t) ...for parabolic and hyperbolic problems. Parabolic problems with sources ...
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A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems
... [1] M. Ababna, Regularization by nonlocal conditions of the problem of the control of the initial condi- tion for evolution operator-differential equations, Vestnik Belorusskogo Gosudarstvennogo Uni- versiteta. ...
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Regularity of the Solution of the First Initial-Boundary Value Problem for Hyperbolic Equations in Domains with Cuspidal Points on Boundary
... Initial boundary-value problems for hyperbolic and parabolic type equations in a cylinder with the base containing conical points have been developed sufficiently by us 1–4, the main ...
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Finite-Difference Scheme for Initial Boundary Value Problems in Financial Mathematics
... the initial boundary problem value for the Gamma equation through the establishment of two-side estimates for the scheme’s ...the initial boundary value problem for the so called ...
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Numerical Treatment of Initial Boundary Value Problems with Mixed Boundary Conditions
... either initial or boundary ...of Boundary Value Problems (BVPs) for nonlinear or- dinary differential equations using the ...hyperbolic, parabolic and elliptic partial ...
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On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations
... There are many concrete physical sources for problem P, for example, in the petroleum exploitation, u denotes the oil pressure, and At is the rate of total oil flux per unit length of the well at the time t; in the ...
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Boundary-value Problems with Non-local Initial Condition for Parabolic Equations with Parameter
... degenerated parabolic equations. Boundary-value problems with initial non-local condition for model parabolic equations were studied by ...non-local problems for mixed ...
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Initial and Boundary Value Problems Involving the Inhomogeneous Generalized Airy’s Equations
... Fig. 12(a) illustrates u n for n = 1 (namely, solution to Airy’s equation) and Fig. 12(b) illustrates u n for n = 10, for the three variable forcing functions considered. These figures demonstrate the similarity in ...
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Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base
... Boundary value problems for partial differential equations and systems in nonsmooth domains have been attracted attentions of many mathematicians for more than last 50 ...with initial ...
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Parallel Factorizations in Numerical Analysis
... PDE problems, for example linear or quasi-linear parabolic problems, can be directly cast into the ODE setting via the semi-discretization of the space variables; that is, by using the method of ...
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Universal attractor for nonlinear one-dimensional compressible and radiative MHD flow
... For compressible and radiative MHD flow (i.e., a > ), the author and his colleagues [, ] established the global existence and exponential stability of solutions. For compress- ible and radiative MHD flow (i.e., a ...
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Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation
... In the whole real axis, with a multiple characteristic, fifth-order and self-adjoint differen- tial operator has not been researched so far. We demonstrated the association between the coefficients of the differential ...
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Monotone Method for Nonlinear First-order Hyperbolic Initial-boundary Value Problems of Moving Boundary
... Moving boundary problems deal with solving partial differential equations (PDEs) in a domain, a part of whose boundary is unknown in advance; that portion of the boundary is called a moving ...
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Discontinuous Parabolic Problems with a Nonlocal Initial Condition
... We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense. Our technique is ...
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Study of the First Boundary Value Problem for a Fourth Order Parabolic Equation in a Nonregular Domain of
... of boundary value problems for a 2m-th order parabolic equation in H¨ older spaces for noncylindrical domains (of the same kind but which cannot include our domain) with a nonsmooth (in t) ...
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A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries
... a parabolic equation with moving boundaries arising in ductal carcinoma in situ (DCIS) ...moving boundary condition, we use a trick of introducing two transformations to convert moving boundary to ...
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Sturm-liouville boundary value problems and their properties
... the boundary conditions must be such as to eliminate the boundary terms that arise during the integration by parts used in deriving ...separated boundary conditions ...self-adjoint boundary ...
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Numerical analysis via Chebyshev pseudospectral method for nonlinear initial/boundary value problems
... A numerical solution based on Chebyshev collocation approximations seems to be a very good choice in many practical problems (as described in the literature review and for example (Canuto et al. [3] and Peyret ...
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