quasilinear parabolic equation
Global existence and nonexistence of solutions for quasilinear parabolic equation
... This work is concerned with the global existence and nonexistence of solutions for a quasilinear parabolic equation with null Dirichlet boundary condition. Based on the Galerkin approximation ...
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Periodic solution of a quasilinear parabolic equation with nonlocal terms and Neumann boundary conditions
... Inspired by the work of [], we consider the periodic solutions of the Neumann bound- ary value problem of a quasilinear parabolic equation with nonlocal terms. Compared with the Dirichlet boundary ...
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Periodic solutions of a quasilinear parabolic equation with nonlinear convection terms
... by the Leray-Schauder fixed point theorem. In [], Zhou et al. considered the quasilinear parabolic equation with nonlocal terms. Based on the theory of Leray-Schauder’s degree, the authors ...
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A note on blow-up of solutions for the nonlocal quasilinear parabolic equation with positive initial energy
... In those works mentioned above, most problems assumed that the initial energy was negative or non-positive to ensure the occurrence of blow-up. But, to the best of our knowledge, the positive initial energy can also ...
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Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition
... In this study we prove the continuous dependence of the solution u = u(x, t) upon the data ϕ(x) and f (x, t, u). In [], a similar iteration method is used with this kind of a local boundary condition for a nonlinear ...
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Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition
... Abstract. This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of ...
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An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions
... In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is considered. Under some natural regularity ...
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An H1 Galerkin method for a Stefan problem with a quasilinear parabolic equation in non divergence form
... A Galerkin Method For a Single Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions, Submitted.. Free-Boundary Problems For Nonlinear Parabolic Equations With Nonlinear Free[r] ...
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L∞ estimates of solutions for the quasilinear parabolic equation with nonlinear gradient term and L1 data
... L 1 (Ω) and give the L ∞ estimates for u(t) under the similar condition in [1]. More spe- cially, we will study the behavior of solution u(t) as t ® 0 + . Obviously, if m = 0 and g ≡ 0, problem (1.1) is reduced to (1.2). ...
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An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions
... nonlinear parabolic equation is an interesting problem for many scientists ...for parabolic equations with nonlocal boundary conditions are investigated in ...
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Global and blow up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux
... This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global ...
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Weak generalized and numerical solution for a quasilinear pseudo parabolic equation with nonlocal boundary condition
... This paper investigates the one dimensional mixed problem with nonlocal boundary conditions, for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the ...
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Blow-Up Results for a Nonlinear Hyperbolic Equation with Lewis Function
... a quasilinear parabolic equation with a generalized Lewis function which depends on both spacial variable and ...wave equation in R n ...Petrovsky equation was ...
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Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms
... of quasilinear parabolic equation under homogeneous Dirichlet or Neumann boundary condition, and the slow diffusion case with nonlocal source term was also included in their ...scalar equation ...
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DISPERSIVE RAREFACTION WAVE WITH A LARGE INITIAL GRADIENT
... a quasilinear parabolic equation [15], and in [16] it is shown that the renormalization approximation of the solution is asymptotically close to the composite asymptotic ...
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Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems
... first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value ...differential equation is the unique solution ...
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New method for the existence and uniqueness of solution of nonlinear parabolic equation
... nonlinear parabolic equation is obtained by using the properties of H-monotone operators, consequently, the proof is simplified compared to the corresponding discussions in the ...nonlinear parabolic ...
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Existence and Nonexistence of Global Solutions of the Quasilinear Parabolic Equations with Inhomogeneous Terms
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 451619, 11 pages doi 10 1155/2010/451619 Research Article Existence and Nonexistence of Global Solutions of the[.] ...
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Multiple soliton solutions for a quasilinear Schrodinger equation
... Problems of type (1.1) were studied primarily in the context of p = 2. In this connection, we refer the readers to [5, 6, 7, 18, 19, 20, 25, 28, 29]. One may note that one of the main difficulties of the ...
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Attractors for parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities
... for quasilinear parabolic equations related to Caffarelli-Kohn- Nirenberg inequalities, in which the conditions imposed on the nonlinearity provide the global existence of weak solutions but not uniqueness, ...
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