A generalized shape optimization procedure for the solution of linear partial differential equations with application to multidisciplinary optimization

2001 ◽  
Vol 21 (4) ◽  
pp. 327-331 ◽  
Author(s):  
B. Kovács ◽  
F.J. Szabó ◽  
Gy. Szota
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Shape Optimization ◽  
Optimization Procedure ◽  
Multidisciplinary Optimization ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Generalized Shape Optimization

Lyapunov-type inequalities for partial differential equations with 𝑝-Laplacian

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Robert Stegliński
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Nonlinear Partial Differential Equations ◽  
Dirichlet Boundary Conditions ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Lyapunov Inequalities ◽  
Funct Anal

Abstract The aim of this paper is to extend results from [A. Cañada, J. A. Montero and S. Villegas, Lyapunov inequalities for partial differential equations, J. Funct. Anal. 237 (2006), 1, 176–193] about Lyapunov-type inequalities for linear partial differential equations to nonlinear partial differential equations with 𝑝-Laplacian with zero Neumann or Dirichlet boundary conditions.

Lectures on Cauchy's Problem in Linear Partial Differential Equations

1924 ◽  
Vol 12 (171) ◽  
pp. 173
Author(s):  
P. J. Daniell ◽  
J. Hadamard
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Linear Partial Differential Equations

Beam Vibrations With Time-Dependent Boundary Conditions

1950 ◽  
Vol 17 (4) ◽  
pp. 377-380
Author(s):  
R. D. Mindlin ◽  
L. E. Goodman
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Separation Of Variables ◽  
Boundary Value ◽  
Time Dependent ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Vibration Problems

Abstract A procedure is described for extending the method of separation of variables to the solution of beam-vibration problems with time-dependent boundary conditions. The procedure is applicable to a wide variety of time-dependent boundary-value problems in systems governed by linear partial differential equations.

Taylor meshless method for solving non-linear partial differential equations

2017 ◽  
Vol 348 ◽  
pp. 385-400 ◽  
Author(s):  
Jie Yang ◽  
Heng Hu ◽  
Yao Koutsawa ◽  
Michel Potier-Ferry
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Meshless Method ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Non Linear
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