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Parabolic Equations
"... For a family of piecewiseautonomous onedimensional bistable parabolic equations, with vanishing di#usion and Neumann boundary conditions, we determine the number and Morse indices of their equilibria as a function of the number of subintervals where the equations are autonomous. We conjecture ..."
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For a family of piecewiseautonomous onedimensional bistable parabolic equations, with vanishing di#usion and Neumann boundary conditions, we determine the number and Morse indices of their equilibria as a function of the number of subintervals where the equations are autonomous. We conjecture
PARABOLIC EQUATION
, 2008
"... This dissertation describes the space of heteroclinic orbits for a class of semilinear parabolic equations, focusing primarily on the case where the nonlinearity is a second degree polynomial with variable coefficients. Along the way, a new and elementary proof of existence and uniqueness of solutio ..."
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Cited by 2 (0 self)
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This dissertation describes the space of heteroclinic orbits for a class of semilinear parabolic equations, focusing primarily on the case where the nonlinearity is a second degree polynomial with variable coefficients. Along the way, a new and elementary proof of existence and uniqueness
Parabolic equations
 Proc. Nat. Acad. Sci. U.S.A
, 1957
"... In addition to the K&m & momentumintegral equation, two further equations are required for the purposes of calculating the development of the incompressible turbulent boundary layer a "skinfriction law" and an "auxiliary equrtion". The problem of deriving a satisfactor ..."
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Cited by 2 (0 self)
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In addition to the K&m & momentumintegral equation, two further equations are required for the purposes of calculating the development of the incompressible turbulent boundary layer a "skinfriction law" and an "auxiliary equrtion". The problem of deriving a
Shishkov A.: Longtime extinction of solutions of some semilinear parabolic equations
 Journal Diff. Equ
, 2007
"... parabolic equations ..."
On parabolic equations for measures
 Comm. Partial Diff. Equat
"... Abstract. A new existence result is established for weak parabolic equations for probability measures. A priori estimates for solutions of such equations are obtained. AMS Subject Classification: 35K10, 35K12, 60J35, 60J60, 47D07 1. ..."
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Cited by 25 (8 self)
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Abstract. A new existence result is established for weak parabolic equations for probability measures. A priori estimates for solutions of such equations are obtained. AMS Subject Classification: 35K10, 35K12, 60J35, 60J60, 47D07 1.
Heteroclinic Orbits of Semilinear Parabolic Equations
, 1994
"... this paper is the global attractor A of scalar semilinear parabolic equations with Neumann boundary conditions ..."
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Cited by 45 (17 self)
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this paper is the global attractor A of scalar semilinear parabolic equations with Neumann boundary conditions
TERM IN A PARABOLIC EQUATION 1
, 2004
"... Stable identification of a semilinear term in a parabolic equation by ..."
PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
, 2006
"... Abstract. We investigate the unique solvability of second order parabolic equations in nondivergence form in W 1,2 p ((0, T) × Rd), p ≥ 2. The leading coefficients are only measurable in either one spatial variable or time and one spatial variable. In addition, they are VMO (vanishing mean oscilla ..."
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Cited by 16 (7 self)
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Abstract. We investigate the unique solvability of second order parabolic equations in nondivergence form in W 1,2 p ((0, T) × Rd), p ≥ 2. The leading coefficients are only measurable in either one spatial variable or time and one spatial variable. In addition, they are VMO (vanishing mean
The structure of the category of parabolic equations
"... Abstract. We define here the category of partial differential equations. Special cases of morphisms from an object (equation) are symmetries of the equation and reductions of the equation by a symmetry groups, but there are many other morphisms. We are mostly interested in a subcategory that arises ..."
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Cited by 9 (0 self)
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from second order parabolic equations on arbitrary manifolds. We introduce a certain structure in this category enabling us to find the simplest representative of every quotient object of the given object, and develop a specialpurpose language for description and study of structures of this kind
Results 1  10
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