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38,543
Perturbation Methods and First Order Partial Differential Equations
, 2002
"... In this paper, we give explicit estimates that insure the existence of solutions for first order partial differential operators on compact manifolds, using a viscosity method. In the linear case, an explicit integral formula can be found, using the characteristics curves. The solution is given expli ..."
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In this paper, we give explicit estimates that insure the existence of solutions for first order partial differential operators on compact manifolds, using a viscosity method. In the linear case, an explicit integral formula can be found, using the characteristics curves. The solution is given
FINITE DIFFERENCE APPROXIMATIONS FOR NONLINEAR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS
, 2002
"... Abstract. Classical solutions of nonlinear partial differential equations are approximated in the paper by solutions of quasilinear systems of difference equations. Sufficient conditions for the convergence of the method are given. The proof of the stability of the difference problem is based on a c ..."
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Abstract. Classical solutions of nonlinear partial differential equations are approximated in the paper by solutions of quasilinear systems of difference equations. Sufficient conditions for the convergence of the method are given. The proof of the stability of the difference problem is based on a
ODDSYMPLECTIC GROUP IN FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS
, 2002
"... Abstract. In this paper it is shown that the characteristic vector field associated to a first order PDE: h(x, ∇z(x)) = 0 with x ∈ R n has the same form of an infinitesimal generator of an oddsymplectic transformation with contact Hamiltonian h(x, p) on the level set h = 0. We also study under whi ..."
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Abstract. In this paper it is shown that the characteristic vector field associated to a first order PDE: h(x, ∇z(x)) = 0 with x ∈ R n has the same form of an infinitesimal generator of an oddsymplectic transformation with contact Hamiltonian h(x, p) on the level set h = 0. We also study under
THE QUASICONVEX ENVELOPE THROUGH FIRSTORDER PARTIAL DIFFERENTIAL EQUATIONS WHICH CHARACTERIZE QUASICONVEXITY OF NONSMOOTH FUNCTIONS
"... Dedicated to Avner Friedman on his 80th birthday. Abstract. Necessary and sufficient conditions for quasiconvexity, also called levelset convexity, of a function are given in terms of firstorder partial differential equations. Solutions to the equations are understood in the viscosity sense and th ..."
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Dedicated to Avner Friedman on his 80th birthday. Abstract. Necessary and sufficient conditions for quasiconvexity, also called levelset convexity, of a function are given in terms of firstorder partial differential equations. Solutions to the equations are understood in the viscosity sense
ftp ejde.math.txstate.edu (login: ftp) EXPLICIT SOLUTIONS FOR A SYSTEM OF FIRSTORDER PARTIAL DIFFERENTIAL EQUATIONS
"... Abstract. In this paper we construct explicit weak solutions of a system of two partial differential equations in the quarter plane {(x, t) : x> 0, t> 0} with initial conditions at t = 0 and a weak form of Dirichlet boundary conditions at x = 0. This system was first studied by LeFloch [9], wh ..."
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Abstract. In this paper we construct explicit weak solutions of a system of two partial differential equations in the quarter plane {(x, t) : x> 0, t> 0} with initial conditions at t = 0 and a weak form of Dirichlet boundary conditions at x = 0. This system was first studied by LeFloch [9
USER’S GUIDE TO VISCOSITY SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
, 1992
"... The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking argume ..."
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Cited by 1399 (16 self)
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The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking
Strongly Elliptic Systems and Boundary Integral Equations
, 2000
"... Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition of the mathematic ..."
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Cited by 501 (0 self)
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Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition
MODULE TOPIC
"... First order Partial differential equation: Partial differential equation of first order, Linear partial differential equation, Nonlinear partial differential equation, Homogeneous and Nonhomogeneous partial differential equation with constant coefficient. ..."
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First order Partial differential equation: Partial differential equation of first order, Linear partial differential equation, Nonlinear partial differential equation, Homogeneous and Nonhomogeneous partial differential equation with constant coefficient.
Results 1  10
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38,543