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Smooth Contractive Embeddings and Application to Feynman Formula for Parabolic Equations on Smooth Bounded Domains
Smooth contractive extension operator elliptic differential operator
2011/1/18
We prove two assumptions made in an article by Ya.A. Butko, M. Grothaus,O.G. Smolyanov concerning the existence of a strongly continuous operator semi-group solving a Cauchy-Dirichlet problem for an e...
The heat-balance integral method by a parabolic profile with unspecified exponent: Analysis and Benchmark Exercises
heat-balance integral method heat-conduction parabolic profile
2011/1/20
The heat-bal ance in te gral method of Good man has been thor oughly an a lyzed in the case of a par a bolic pro file with un spec i fied ex po nent de pend ing on the bound ary con di tion im posed. ...
Research Note on a Parabolic Heat-Balance Integral Method with Unspecified Exponent: An Entropy Generation Approach in Optimal Profile Determination
Research Note on a Parabolic Heat-Balance Integral Method Unspecified Exponent Entropy Generation Optimal Profile Determination
2011/1/20
The heat-bal ance in te gral method of Good man is stud ied with two sim ple 1-D heat con duc tion prob lems with pre scribed tem per a ture and flux bound ary con di tions.These clas si cal prob lems...
Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
Moment asymptotics parabolic Anderson problem perturbed lattice potential
2011/1/20
The parabolic Anderson problem with a random potential obtained by attaching a long tailed potential around a randomly perturbed lattice is studied.The moment asymptotics of the total mass of the solu...
Parabolic presentations of the super Yangian $Y(gl_{M|N})$
Parabolic presentations super Yangian $Y(gl_{M|N})$
2011/1/18
Associated to a composition of M and a composition of N, a new presentation of the super Yangian of the general linear Lie superalgebra Y (glM|N) is obtained.
Quasilinear Parabolic Equations and the Ricci Flow on Manifolds with Boundary
Quasilinear Parabolic Equations Ricci Manifolds with Boundary
2011/1/21
The first part of the paper discusses a second-order quasilinear parabolic equation in a vector bundle over a compact manifold M with boundary @M. We establish a short-time existence theorem for this ...
On the Homology of the Real Complement of the $k$-Parabolic Subspace Arrangement
Subspace Arrangements Coxeter Groups Discrete Morse Theory
2011/2/21
In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangement for any nite real re ection group. When k =2, these arrangements correspond to the well-studied Coxeter a...
Determinant line bundle on moduli space of parabolic bundles
Parabolic bundle determinant bundle Quillen metric
2011/2/24
In [BR1], [BR2], a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it.The construction of the Hermitian structure w...
The discrete-time parabolic Anderson model with heavy-tailed potential
Parabolic Anderson Model Directed Polymer Heavy Tailed Potential
2011/2/24
We consider a discrete-time version of the parabolic Anderson model. This may be described as a model for a directed (1+ d)-dimensional polymer interacting with a random potential, which is constant i...
Parabolic (3,5,6)-distributions and Gl(2)-structures
Gl(2)-structures vector distributions
2011/1/18
We consider rank 3 distributions with growth vector (3, 5, 6). The class of such distributions splits into three subclasses: parabolic, hyperbolic and elliptic.
Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations
degenerate fourth-order parabolic equation separation from singularities long-time behavior
2010/12/8
A nonlinear parabolic equation of the fourth order is analyzed. The equation is characterized
by a mobility coefficient that degenerates at 0. Existence of at least one weak solution is proved by usi...
Pullback of parabolic bundles and covers of ${\mathbb P}^1\setminus\{0,1,\infty\}$
Parabolic vector bundles Nori finite bundles
2010/12/8
We work over an algebraically closed ground field of character-istic zero. A G-cover of P1 ramified at three points allows one to assign to each finite dimensional representation V of G a vector bundl...
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
Convergence parabolic complex Monge-Ampère equation compact Hermitian manifolds
2010/12/14
We prove C1 convergence for suitably normalized solutions of the parabolic complex Monge-
Amp`ere equation on compact Hermitian manifolds. This provides a parabolic proof of a recent
result of Tosat...
$L_1$-uniqueness of degenerate elliptic operators
$L_1$-uniqueness degenerate elliptic operators
2010/12/13
Let be an open subset of Rd with 0 ∈ . Further let H = −Pd i,j=1 @i cij @j be a second-order partial differential operator with domain C∞ c ( ) where the coefficients cij ∈ W1,∞
loc ( ) are re...
Fractional-Parabolic Systems
parabolic systems fractional derivative fundamental solution Levi method
2010/12/13
We develop a theory of the Cauchy problem for linear evolution systems of partial differential equations with the Caputo-Dzrbashyan fractional derivative in the time vari-able t.