Two-Level Discrete-Time Galerkin Approximations for Second Order Nonlinear Parabolic Partial Differential Equations

1973 ◽  
Vol 10 (6) ◽  
pp. 1010-1026 ◽  
Author(s):  
H. H. Rachford, Jr.
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Discrete Time ◽  
Second Order ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential ◽  
Galerkin Approximations ◽  
Nonlinear Parabolic

scholarly journals Modification of balayage spaces by transitions with application to coupling of PDE’s

2003 ◽  
Vol 169 ◽  
pp. 77-118 ◽  
Author(s):  
Wolfhard Hansen
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Second Order ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential

AbstractModifications of balayage spaces are studied which, in probabilistic terms, correspond to killing and transitions (creation of mass combined with jumps). This is achieved by a modification of harmonic kernels for sufficiently small open sets. Applications to coupling of elliptic and parabolic partial differential equations of second order are discussed.

scholarly journals Nonlinear parabolic problems in unbounded domains

1979 ◽  
Vol 82 (3-4) ◽  
pp. 201-209 ◽  
Author(s):  
Guy Mahler
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Weak Solutions ◽  
Unbounded Domains ◽  
Parabolic Problems ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential ◽  
Nonlinear Parabolic Problems ◽  
Existence Of Weak Solutions ◽  
Nonlinear Parabolic

We show the existence of weak solutions of nonlinear parabolic partial differential equations in unbounded domains, provided that a variant of the Leray-Lions conditions is satisfied.

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