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Displaying 1661 – 1680 of 2165

On the singular limit of solutions to the Cox-Ingersoll-Ross interest rate model with stochastic volatility

Beáta Stehlíková, Daniel Ševčovič (2009)

Kybernetika

In this paper we are interested in term structure models for pricing zero coupon bonds under rapidly oscillating stochastic volatility. We analyze solutions to the generalized Cox–Ingersoll–Ross two factors model describing clustering of interest rate volatilities. The main goal is to derive an asymptotic expansion of the bond price with respect to a singular parameter representing the fast scale for the stochastic volatility process. We derive the second order asymptotic expansion of a solution...

On the Singular Set and the Uniqueness of Weak Solutions of the Navier-Stokes Equations.

Hermann Sohr, Wolf von Wahl (1984/1985)

Manuscripta mathematica

On the singular set, the resolvent and Fermi's Golden Rule for finite volume hyperbolic surfaces.

Yiannis N. Petridis (1994)

Manuscripta mathematica

On the singularities of 3-D Protter's problem for the wave equation.

Grammatikopoulos, Myron K., Hristov, Tzvetan D., Popivanov, Nedyu I. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the singularities of solutions of partial differential equations with constant coefficients

L. Hörmander (1971/1972)

Séminaire Équations aux dérivées partielles (Polytechnique)

On the singularities of the solution of the Cauchy problem for the operator with non uniform multiple characteristics

Yûsaku Hamada, Gen Nakamura (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the Singularities of the Solution to the Cauchy Problem with Singular Data in the Complex Domain.

Takao Kobayashi (1984)

Mathematische Annalen

On the small time asymptotics of the two-dimensional stochastic Navier–Stokes equations

Tiange Xu, Tusheng Zhang (2009)

Annales de l'I.H.P. Probabilités et statistiques

In this paper, we establish a small time large deviation principle (small time asymptotics) for the two-dimensional stochastic Navier–Stokes equations driven by multiplicative noise, which not only involves the study of the small noise, but also the investigation of the effect of the small, but highly nonlinear, unbounded drifts.

On the smallness of the (possible) singular set in space for 3D Navier-Stokes equations.

Grujić, Zoran (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the S-matrix for Schrödinger operators with long-range potentials.

Yoshimi Saito (1980)

Journal für die reine und angewandte Mathematik

On the smoothness of solutions of variational inequalities with obstacles

Jens Frehse (1983)

Banach Center Publications

On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

Rossitza Semerdjieva (2015)

Open Mathematics

We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.

On the smoothness of the solutions to the elliptic systems

Koshelev, Alexander Ivanovich (1986)

Equadiff 6

On the smoothness of viscosity solutions of the prescribed Levi-curvature equation

Giovanna Citti, Ermanno Lanconelli, Annamaria Montanari (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper a $C^{\infty}$ -regularity result for the strong viscosity solutions to the prescribed Levi-curvature equation is announced. As an application, starting from a result by Z. Slodkowski and G. Tomassini, the $C^{\infty}$ -solvability of the Dirichlet problem related to the same equation is showed.

On the smoothness of weak solutions of strong-nonlinear nondiagonal elliptic systems (the two-dimensional case).

Arkhipova, A. (2004)

Zapiski Nauchnykh Seminarov POMI

On the solution $n$ -dimensional of the product $\otimes k$ operator and diamond Bessel operator.

Satsanit, Wanchak, Kananthai, Amnuay (2010)

Mathematical Problems in Engineering

On the solution of a generalized system of von Kármán equations

Jozef Kačur (1981)

Aplikace matematiky

A nonlinear system of equations generalizing von Kármán equations is studied. The existence of a solution is proved and the relation between the solutions of the considered system and the solutions of von Kármán system is studied. The system considered is derived in a former paper by Lepig under the assumption of a nonlinear relation between the intensity of stresses and deformations in the constitutive law.

On the solution of boundary value problems for linear parabolic equations of higher order

Vladimír Ďurikovič (1974)

Časopis pro pěstování matematiky

On the solution of boundary value problems for sandwich plates

Igor Bock, Ivan Hlaváček, Ján Lovíšek (1986)

Aplikace matematiky

A mathematical model of the equilibrium problem of elastic sandwich plates is established. Using the theory of inequalities of Korn's type for a general class of elliptic systems the existence and uniqueness of a variational solution is proved.

On the solution of elliptic partial differential equations with an unbounded Dirichlet integral

Nečas, J. (1963)

Differential Equations and Their Applications

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