[PDF] Top 20 The Dirichlet problem for a class of nonlinear degenerate parabolic equations
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The Dirichlet problem for a class of nonlinear degenerate parabolic equations
... existence and uniqueness of the generalized solutions in BV space under some constrains. Our interest here is to treat the problem for a multi-dimensional case without absorption. Generally speaking, solutions of ... See full document
8
On the Sets of Regularity of Solutions for a Class of Degenerate Nonlinear Elliptic Fourth-Order Equations with Data
... The assumed conditions and known results of the theory of monotone operators allow us to prove existence of generalized solutions of the Dirichlet problem associated to our operator (see, e.g., [1]), ... See full document
15
Convergence to equilibrium in degenerate parabolic equations with delay
... to problem (D) when delays are absent (r = 0), see [3, 23, 27] for an overview and extensive ...on degenerate parabolic equations, using it mainly to provide suitable comparison solutions for ... See full document
31
Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
... a nonlinear elliptic equation in which the divergence form operator − div(a(x, ∇ u)) is ...many nonlinear dif- fusion problems, in particular in the mathematical modeling of non-Newtonian fluids (see [5] ... See full document
17
A bifurcation problem for a class of periodically perturbed autonomous parabolic equations
... bifurcation problem the approach out- lined in [] has been presented in [], with the aim of studying the bifurcation of peri- odic solutions for a functional differential equation of neutral ...of ... See full document
18
Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
... This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we ... See full document
13
Blow-up and nonexistence of solutions of some semilinear degenerate parabolic equations
... a class of semilinear degenerate parabolic equations arising in mathematical finance and in the theory of diffusion ...a class of degenerate parabolic ... See full document
12
WENO schemes for multidimensional nonlinear degenerate parabolic PDEs
... a nonlinear problem is presented and suggested as test for multidimensional nonlinear convection-diffusion problems [3, ...strongly degenerate parabolic ... See full document
22
Periodic solutions of nonlinear finite difference systems with time delays
... of parabolic boundary value ...value problem [1,2] or to system of reaction-diffusion type of equations with specific reaction functions ...for parabolic initial boundary value problem ... See full document
8
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] ... See full document
16
A Numerical Approach to a Nonlinear and Degenerate Parabolic Problem by Regularization Scheme
... a parabolic regularization of function b(u) or by perturbing the boundary and initial data such that the corresponding solutions do not take the degenerate ...general class of singular ... See full document
6
On Degenerate Parabolic Equations
... Due to the possible jumps of θ, problem P enters the class of Stefan problems. In the present paper, we are interested in the parabolic problem with regular data. It is similar in many ... See full document
8
The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation
... electrorheological fluid mechanics. Since ρ (x) = dist(x, ∂ ), the equation is degenerate on the boundary, one may expect that there is not flux across the boundary. The paper shows that the facts may be unexpected. ... See full document
24
Critical Point Theory Applied to a Class of the Systems of the Superquadratic Wave Equations
... In Section 2, we obtain some results on the nonlinear term F. In Section 3, we approach the variational method and recall the critical point theorem which is the linking theorem for the strongly indefinite ... See full document
11
The local well-posedness of solutions for a nonlinear pseudo-parabolic equation
... The local existence and uniqueness of solutions for a nonlinear pseudo-parabolic equation are established in the Sobolev space C([0, T); H s (R n )) ∩ C 1 ([0, T); H s–1 (R n )) with s > n 2 . In ... See full document
8
The global solution of a diffusion equation with nonlinear gradient term
... regularized problem and using Moser’s iteration technique, we get the locally uniformly bounded property of the solution and the locally bounded property of the L p -norm of the ... See full document
20
Multiple solutions for non homogeneous degenerate Schrodinger equations in cone Sobolev spaces
... In Section 2, we will introduce the manifolds with conical singularities, the stretched manifold associated to the conic manifold, cone Sobolev spaces and the corresponding properties of them. In Section 3, we use the ... See full document
14
Critical Fujita exponents to a class of non-Newtonian filtration equations with fast diffusion
... same problem for an interesting variant of () is studied by the authors ...filtration equations with fast diffusion were considered by Qi and Wang in [], where the critical Fujita exponent was determined ... See full document
16
EXACT SOLUTIONS FOR SOME NONLINEAR FRACTIONAL PARABOLIC EQUATIONS
... INTERNATIONAL JOURNAL OF ADVANCES IN ENGINEERING RESEARCH (25)And so on, where μ is a constant. The positive integer M in Eq.(24)can be determined by considering the homogeneous balance between the highest-order ... See full document
17
A doubly degenerate diffusion equation not in divergence form with gradient term
... A natural question is in what way the additional gradient term in (.) affects the behavior of solutions. It will be shown that, depending on the complicated interaction among the multi-nonlinearity parameters m, p, q, ... See full document
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