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 …

\noindent Electronic Journal of Differential Equations , Vol . 20 1 1 ( 201 1 ) , No . 52 , pp . 1 −−
7 \noindent ISSN : 1 7 Page 1 \noindent Electronic Journal of Differential Equations , Vol . 20 …

On the initial value problem for a certain partial differential equation Page 1 BIT t9 I1979L
164~171 ON THE INITIAL VALUE PROBLEM FOR A CERTAIN PARTIAL DIFFERENTIAL …

On the solvability of first-order discontinuous scalar initial and boundary value problems Page
1 AN21AMJ. 44(2003), 513-538 ON THE SOLVABILITY OF FIRST-ORDER DISCONTINUOUS …

Implicit second order partial differential equations Page 1 ANNALI DELLA SCUOLA
NORMALE SUPERIORE DI PISA Classe di Scienze BERNARD DACOROGNA PAOLO …

This chapter treats a standard and important method called separation of variables, or the
method of eigenfunction expansions, for solving partial differential equations on bounded …

We examine an initial-value problem for a certain higher-order quasilinear partial differential
equation. Expressing the partial differential operator as the superposition of first-order …

Uniqueness and well-posedness results for first order initial and boundary value problems |
ScholarBank@NUS Skip navigation NUS Repository NUS Libraries NUS Home Research …

c3(w,iotZ, t) Page 1 SIAM J. MATH. ANAL. Vol. 5, No. November 1974 SOLUTION OF A CLASS
OF PARTIAL DIFFERENTIAL EQUATIONS WITH INITIAL CONDITIONS’ L. BILLARD, AND …

In this chapter we study the solution of first-order partial differential equations of the form 8.0-
1 F (x _ 1, x _ 2,..., x _ n, u, u _ x _ 1, u _ x _ 2,..., u _ x _ n)= 0 Equation (8.0-1), with …