I would like to be able to have three JPanels p1 p2 and p3, and have them lay out like so:

I have been playing around with FlowLayout, BoxLayout etc but I'm not really sure if I am heading in the right direction. I am quite new with Java so I don't know what does what if I'm quite honest.
I like how BoxLayout works, resizing the panels, but I would like to be able to give it some sort of width attribute.
I am not using a visual designer for this, this is my window code at the moment:
private void initialize() {
    Dimension dimensions = Toolkit.getDefaultToolkit().getScreenSize();
    frame = new JFrame();
    frame.setLayout(new GridLayout(1, 3));
    frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
    frame.setBounds(dimensions.width / 2 - WINDOW_WIDTH / 2,
            dimensions.height / 2 - WINDOW_HEIGHT / 2, 
            WINDOW_WIDTH, WINDOW_HEIGHT);
    JPanel p1 = new JPanel(new BorderLayout());
    p1.setBackground(Color.red);
    JPanel p2 = new JPanel(new BorderLayout());
    p2.setBackground(Color.black);  
    JPanel p3 = new JPanel(new BorderLayout());
    p3.setBackground(Color.blue);       
    frame.add(p2);
    frame.add(p1);  
    frame.add(p3);
}
Any pointers appreciated!
EDIT: I have managed to get it to work how I wanted, thanks to mKorbel. The right column isn't laid out exactly as I was going to do it but I actually changed my mind and decided to keep the other layout.

The code:
import java.awt.*;
import javax.swing.*;
public class PanelWindow extends JFrame {
    private static final long serialVersionUID = 1L;
    private static final int WINDOW_HEIGHT = 600;
    private static final int WINDOW_WIDTH = 800;
    private JPanel p1, p2, p3;
    public static void main(String[] args) {
        javax.swing.SwingUtilities.invokeLater(new Runnable() {
            public void run() {
                PanelWindow panelWindow = new PanelWindow(); 
            }
        });
    }
    public PanelWindow() {
        initialize();
    }
    private void initialize() {
        setLayout(new GridBagLayout());
        GridBagConstraints gbc = new GridBagConstraints();
        p1 = new JPanel();
        p1.setBackground(Color.red);
        p2 = new JPanel();
        p2.setBackground(Color.green);
        p3 = new JPanel();
        p3.setBackground(Color.blue);
        gbc.gridx = gbc.gridy = 0;
        gbc.gridwidth = gbc.gridheight = 1;
        gbc.fill = GridBagConstraints.BOTH;
        gbc.anchor = GridBagConstraints.NORTHWEST;
        gbc.weightx = gbc.weighty = 97;
        gbc.insets = new Insets(2, 2, 2, 2);
        add(p1, gbc);
        gbc.gridy = 1;
        gbc.weightx = gbc.weighty = 3;
        gbc.insets = new Insets(2, 2, 2, 2);
        add(p2, gbc);
        gbc.gridx = 1;
        gbc.gridy = 0;
        gbc.gridwidth = 1;
        gbc.gridheight = 2;
        gbc.weightx = 20;
        gbc.insets = new Insets(2, 2, 2, 2);
        add(p3, gbc);
        pack();
        setVisible(true);
        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        Dimension dimensions = Toolkit.getDefaultToolkit().getScreenSize();
        setBounds(dimensions.width / 2 - WINDOW_WIDTH / 2,
            dimensions.height / 2 - WINDOW_HEIGHT / 2, 
            WINDOW_WIDTH, WINDOW_HEIGHT);
        setTitle("Panel Window");
    }
}
not my favorite LayoutManager, example by using GridBagLayout, easiest could be to use MigLayout, maybe ...



import java.awt.*;
import javax.swing.*;
import javax.swing.border.*;
public class BorderPanels extends JFrame {
    private static final long serialVersionUID = 1L;
    public BorderPanels() {
        setLayout(new GridBagLayout());// set LayoutManager
        GridBagConstraints gbc = new GridBagConstraints();
        JPanel panel1 = new JPanel();
        Border eBorder = BorderFactory.createEtchedBorder();
        panel1.setBorder(BorderFactory.createTitledBorder(eBorder, "70pct"));
        gbc.gridx = gbc.gridy = 0;
        gbc.gridwidth = gbc.gridheight = 1;
        gbc.fill = GridBagConstraints.BOTH;
        gbc.anchor = GridBagConstraints.NORTHWEST;
        gbc.weightx = gbc.weighty = 70;
        add(panel1, gbc); // add compoenet to the COntentPane
        JPanel panel2 = new JPanel();
        panel2.setBorder(BorderFactory.createTitledBorder(eBorder, "30pct"));
        gbc.gridy = 1;
        gbc.weightx = gbc.weighty = 30;
        gbc.insets = new Insets(2, 2, 2, 2);
        add(panel2, gbc); // add component to the COntentPane
        JPanel panel3 = new JPanel();
        panel3.setBorder(BorderFactory.createTitledBorder(eBorder, "20pct"));
        gbc.gridx =1;
        gbc.gridy = 0;
        gbc.gridwidth = /*gbc.gridheight = */1;
        gbc.gridheight = 2;
        gbc.weightx = /*gbc.weighty = */20;
        gbc.insets = new Insets(2, 2, 2, 2);
        add(panel3, gbc);
        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); // important
        pack();
        setVisible(true); // important
    }
    public static void main(String[] args) {
        javax.swing.SwingUtilities.invokeLater(new Runnable() { // important
            public void run() {
                BorderPanels borderPanels = new BorderPanels();
            }
        });
    }
}
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