Uniqueness and well-posedness results for first order initial and boundary value problems

RP Agarwal, S Heikkilä - 2002 - scholarbank.nus.edu.sg
Uniqueness and well-posedness results for first order initial and boundary value problems |
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On the solvability of first-order discontinuous scalar initial and boundary value problems

RP Agarwal, S Heikkilä - The ANZIAM Journal, 2003 - cambridge.org
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 …

INITIAL-BOUNDARY VALUE PROBLEMS FOR THE EQUATION u tt = (σ(u x )) x + (α(u x )u xt ) x …

K Kuttler, D Hicks - Quarterly of applied mathematics, 1988 - JSTOR
Existence and uniqueness theorems are proved for global weak solutions of initial-boundary
value problems corresponding to the equation utt=(σ (ux)) x+(α (ux) uxt) x+ f under …

Initial-boundary value problems for the equation 𝑢_ {𝑡𝑡}=(𝜎 (𝑢ₓ)) ₓ+(𝛼 (𝑢ₓ) 𝑢_ {𝑥𝑡}) ₓ+ 𝑓

K Kuttler, D Hicks - Quarterly of Applied Mathematics, 1988 - ams.org
Existence and uniqueness theorems are proved for global weak solutions of initial-boundary
value problems corresponding to the equation\[{u_ {tt}}={\left ({\sigma\left ({{u_x}}\right)}\right) …

Well-posedness and conditioning of 3rd and higher order two-point initial-boundary value problems

DA Smith - arXiv preprint arXiv:1212.5466, 2012 - arxiv.org
We discuss initial-boundary value problems of arbitrary spatial order subject to arbitrary
boundary conditions. We formalise the concept of the conditioning of such a problem and …

Initial-boundary value problems for second order systems of partial differential equations∗

HO Kreiss, OE Ortiz, NA Petersson - ESAIM: Mathematical Modelling …, 2012 - cambridge.org
We develop a well-posedness theory for second order systems in bounded domains where
boundary phenomena like glancing and surface waves play an important role. Attempts …

Second order initial boundary-value problems of variational type

D Serre - Journal of Functional Analysis, 2006 - Elsevier
We consider linear hyperbolic boundary-value problems for second order systems, which
can be written in the variational form δL= 0, withF↦ W (x; F) being a quadratic form over Md× …

[PDF][PDF] On discontinuous first order implicit boundary value problems

S Carl, S Heikkilä - journal of differential equations, 1998 - core.ac.uk
On Discontinuous First Order Implicit Boundary Value Problems Page 1 journal of differential
equations 148, 100 121 (1998) On Discontinuous First Order Implicit Boundary Value Problems …

[PDF][PDF] Numerical solution of ordinary and partial differential equations occurring in scientific applications

M Jayes - 1992 - repository.lboro.ac.uk
Numerical solution of ordinary and partial differential equations occurring in scientific
applications Page 1 This item was submitted to Loughborough's Research Repository by …

[PDF][PDF] Some general existence principles for ordinary differential equations

M Frigon, D O'Regan - 1993 - projecteuclid.org
FOR ORDINARY DIFFERENTIAL EQUATIONS Page 1 Topological Methods in Nonlinear
Analysii Journal of the Juliusz Schauder Center Volume 2, 1993, 35-54 SOMIE CENERAL …